{"id":20032,"date":"2023-10-19T11:06:24","date_gmt":"2023-10-19T05:36:24","guid":{"rendered":"https:\/\/apboardsolutions.in\/?p=20032"},"modified":"2023-10-20T17:38:47","modified_gmt":"2023-10-20T12:08:47","slug":"ap-board-7th-class-maths-solutions-chapter-9-ex-9-3-in-telugu","status":"publish","type":"post","link":"https:\/\/apboardsolutions.in\/ap-board-7th-class-maths-solutions-chapter-9-ex-9-3-in-telugu\/","title":{"rendered":"AP Board 7th Class Maths Solutions Chapter 9 \u0c2c\u0c40\u0c1c\u0c40\u0c2f \u0c38\u0c2e\u0c3e\u0c38\u0c3e\u0c32\u0c41 Ex 9.3"},"content":{"rendered":"

SCERT\u00a0AP 7th Class Maths Solutions Pdf<\/a> Chapter 9 \u0c2c\u0c40\u0c1c\u0c40\u0c2f \u0c38\u0c2e\u0c3e\u0c38\u0c3e\u0c32\u0c41 Ex 9.3 Textbook Exercise Questions and Answers.<\/p>\n

AP State Syllabus 7th Class Maths Solutions 9th Lesson \u0c2c\u0c40\u0c1c\u0c40\u0c2f \u0c38\u0c2e\u0c3e\u0c38\u0c3e\u0c32\u0c41 Exercise 9.3<\/h2>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 1.
\n\u0c15\u0c3f\u0c02\u0c26\u0c3f \u0c38\u0c2e\u0c3e\u0c38\u0c3e\u0c32 \u0c2a\u0c4d\u0c30\u0c3e\u0c2e\u0c3e\u0c23\u0c3f\u0c15 \u0c30\u0c42\u0c2a\u0c02 \u0c2e\u0c30\u0c3f\u0c2f\u0c41 \u0c38\u0c02\u0c15\u0c32\u0c28 \u0c35\u0c3f\u0c32\u0c4b\u0c2e\u0c02 \u0c30\u0c3e\u0c2f\u0c02\u0c21\u0c3f.
\n(i) – 6a
\n\u0c38\u0c3e\u0c27\u0c28.
\n\u0c2a\u0c4d\u0c30\u0c3e\u0c2e\u0c3e\u0c23\u0c3f\u0c15 \u0c30\u0c42\u0c2a\u0c02 = – 6a
\n\u0c38\u0c02\u0c15\u0c32\u0c28 \u0c35\u0c3f\u0c32\u0c4b\u0c2e\u0c02 = – (- 6a) = 6a<\/p>\n

\"AP<\/p>\n

(ii) 2 + 7c2<\/sup>
\n\u0c38\u0c3e\u0c27\u0c28.
\n\u0c2a\u0c4d\u0c30\u0c3e\u0c2e\u0c3e\u0c23\u0c3f\u0c15 \u0c30\u0c42\u0c2a\u0c02 = 7c2<\/sup> + 2
\n\u0c38\u0c02\u0c15\u0c32\u0c28 \u0c35\u0c3f\u0c32\u0c4b\u0c2e\u0c02 = – (2 + 7c2<\/sup>)
\n= – 2 – 7c2<\/sup><\/p>\n

(iii) 6x2<\/sup> + 4x – 5
\n\u0c38\u0c3e\u0c27\u0c35.
\n\u0c2a\u0c4d\u0c30\u0c3e\u0c2e\u0c3e\u0c23\u0c3f\u0c15 \u0c30\u0c42\u0c2a\u0c02 = 6x2<\/sup> + 4x – 5
\n\u0c38\u0c02\u0c15\u0c32\u0c28 \u0c35\u0c3f\u0c32\u0c4b\u0c2e\u0c02 = – (6x2<\/sup> + 4x – 5)
\n= – 6x2<\/sup> – 4x + 5<\/p>\n

(iv) 3c + 7a – 9b
\n\u0c38\u0c3e\u0c27\u0c28.
\n\u0c2a\u0c4d\u0c30\u0c3e\u0c2e\u0c3e\u0c23\u0c3f\u0c15 \u0c30\u0c42\u0c2a\u0c02 = 3c + 7a – 9b (\u0c32\u0c47\u0c26\u0c3e) 7a – 9b + 3c
\n\u0c38\u0c02\u0c15\u0c32\u0c28 \u0c35\u0c3f\u0c32\u0c4b\u0c2e\u0c02 = – (3c + 7a – 9b)
\n= – 3c – 7a + 9b<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 2.
\n\u0c26\u0c3f\u0c17\u0c41\u0c35 \u0c07\u0c35\u0c4d\u0c35\u0c2c\u0c21\u0c3f\u0c28 \u0c38\u0c2e\u0c3e\u0c38\u0c3e\u0c32 \u0c2f\u0c4a\u0c15\u0c4d\u0c15 \u0c2a\u0c4d\u0c30\u0c3e\u0c2e\u0c3e\u0c23\u0c3f\u0c15 \u0c30\u0c42\u0c2a\u0c3e\u0c28\u0c4d\u0c28\u0c3f \u0c30\u0c3e\u0c2f\u0c02\u0c21\u0c3f.
\n(i) 6x + x2<\/sup> – 5
\n\u0c38\u0c3e\u0c27\u0c28.
\n\u0c2a\u0c4d\u0c30\u0c3e\u0c2e\u0c3e\u0c23\u0c3f\u0c15 \u0c30\u0c42\u0c2a\u0c02 = x2<\/sup> + 6x – 5<\/p>\n

(ii) 3 – 4a2<\/sup> – 5a
\n\u0c38\u0c3e\u0c27\u0c28.
\n\u0c2a\u0c4d\u0c30\u0c3e\u0c2e\u0c3e\u0c23\u0c3f\u0c15 \u0c30\u0c42\u0c2a\u0c02 = – 4a2<\/sup> – 5a + 3<\/p>\n

(iii) – m + 6 + 3m2<\/sup>
\n\u0c38\u0c3e\u0c27\u0c28.
\n\u0c2a\u0c4d\u0c30\u0c3e\u0c2e\u0c3e\u0c23\u0c3f\u0c15 \u0c30\u0c42\u0c2a\u0c02 = 3m2<\/sup> – m + 6<\/p>\n

(iv) c3<\/sup> + 1 + c + 2c2<\/sup>
\n\u0c38\u0c3e\u0c27\u0c28.
\n\u0c2a\u0c4d\u0c30\u0c3e\u0c2e\u0c3e\u0c23\u0c3f\u0c15 \u0c30\u0c42\u0c2a\u0c02 = c3<\/sup> + 2c2<\/sup> + c + 1<\/p>\n

(v) 9 – p2<\/sup>
\n\u0c38\u0c3e\u0c27\u0c28.
\n\u0c2a\u0c4d\u0c30\u0c3e\u0c2e\u0c3e\u0c23\u0c3f\u0c15 \u0c30\u0c42\u0c2a\u0c02 = – p2<\/sup> + 9<\/p>\n

\"AP<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 3.
\n\u0c15\u0c3f\u0c02\u0c26 \u0c07\u0c1a\u0c4d\u0c1a\u0c3f\u0c28 \u0c38\u0c2e\u0c3e\u0c38\u0c3e\u0c32\u0c28\u0c41 \u0c05\u0c21\u0c4d\u0c21\u0c41\u0c35\u0c30\u0c41\u0c38 \u0c2e\u0c30\u0c3f\u0c2f\u0c41 \u0c28\u0c3f\u0c32\u0c41\u0c35\u0c41 \u0c35\u0c30\u0c41\u0c38\u0c32 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f\u0c32\u0c4b \u0c15\u0c42\u0c21\u0c02\u0c21\u0c3f. \u0c30\u0c46\u0c02\u0c21\u0c41 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c41\u0c32\u0c4d\u0c32\u0c4b \u0c12\u0c15\u0c47 \u0c1c\u0c35\u0c3e\u0c2c\u0c41 \u0c35\u0c38\u0c4d\u0c24\u0c41\u0c02\u0c26\u0c3e? \u0c38\u0c30\u0c3f\u0c1a\u0c42\u0c21\u0c41\u0c2e\u0c41.
\n(i) 2x2<\/sup> – 6x +3; 4x2<\/sup> + 9x + 5
\n\u0c38\u0c3e\u0c27\u0c28.
\n\u0c05\u0c21\u0c4d\u0c21\u0c41 \u0c35\u0c30\u0c41\u0c38 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f:
\n(2x2<\/sup> – 6x + 3) + (4x2<\/sup> + 9x + 5)
\n= (2x2<\/sup> + 4x2<\/sup>) + (- 6x + 9x) + (3 + 5)
\n= (2 + 4)x2<\/sup> + (- 6 + 9)x + 8
\n= 6x2<\/sup> + 3x + 8<\/p>\n

\u0c28\u0c3f\u0c32\u0c41\u0c35\u0c41 \u0c35\u0c30\u0c41\u0c38 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f:
\n\"AP
\n\u0c30\u0c46\u0c02\u0c21\u0c41 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c41\u0c32\u0c32\u0c4b\u0c28\u0c41 \u0c12\u0c15\u0c47 \u0c1c\u0c35\u0c3e\u0c2c\u0c41 \u0c35\u0c1a\u0c4d\u0c1a\u0c3f\u0c28\u0c26\u0c3f.<\/p>\n

(ii) a2<\/sup> + 6ab + 8; – 3a2<\/sup> – ab – 2
\n\u0c38\u0c3e\u0c27\u0c28.
\n\u0c05\u0c21\u0c4d\u0c21\u0c41 \u0c35\u0c30\u0c41\u0c38 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f :
\n(a2<\/sup> + 6ab + 8) + (- 3a2<\/sup> – ab – 2)
\n= [a2<\/sup> + (- 3a2<\/sup>)] + [6ab + (- ab)] + [8 + (- 2)]
\n= [1 + (- 3)]a2<\/sup> + [6 + (-1)]ab + 6
\n= – 2a2<\/sup> + 5ab + 6<\/p>\n

\u0c28\u0c3f\u0c32\u0c41\u0c35\u0c41 \u0c35\u0c30\u0c41\u0c38 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f:
\n\"AP
\n\u0c30\u0c46\u0c02\u0c21\u0c41 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c41\u0c32\u0c32\u0c4b\u0c28\u0c41 \u0c12\u0c15\u0c47 \u0c1c\u0c35\u0c3e\u0c2c\u0c41 \u0c35\u0c1a\u0c4d\u0c1a\u0c3f\u0c28\u0c26\u0c3f.<\/p>\n

(iii) – p2<\/sup> + 2p – 10; 4 – 5p – 2p2<\/sup>
\n\u0c38\u0c3e\u0c27\u0c28.
\n\u0c05\u0c21\u0c4d\u0c21\u0c41 \u0c35\u0c30\u0c41\u0c38 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f :
\n(- p2<\/sup> + 2p – 10) + (4 – 5p – 2p2<\/sup>)
\n= [- p2<\/sup> + (- 2p2<\/sup>)] + [2p + (- 5p)] + [(-10) + 4]
\n= [- 1 + (- 2)] p2<\/sup> + [2 + (- 5)] p + (- 6)
\n= – 3p2<\/sup> + (- 3)p + (- 6)
\n= – 3p2<\/sup> – 3p – 6<\/p>\n

\u0c28\u0c3f\u0c32\u0c41\u0c35\u0c41 \u0c35\u0c30\u0c41\u0c38 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f :
\n\"AP
\n\u0c30\u0c46\u0c02\u0c21\u0c41 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c41\u0c32\u0c32\u0c4b\u0c28\u0c41 \u0c12\u0c15\u0c47 \u0c1c\u0c35\u0c3e\u0c2c\u0c41 \u0c35\u0c1a\u0c4d\u0c1a\u0c3f\u0c28\u0c26\u0c3f.<\/p>\n

\"AP<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 4.
\n\u0c2e\u0c4a\u0c26\u0c1f\u0c3f \u0c38\u0c2e\u0c3e\u0c38\u0c2e\u0c41 \u0c28\u0c41\u0c02\u0c1a\u0c3f \u0c30\u0c46\u0c02\u0c21\u0c35 \u0c38\u0c2e\u0c3e\u0c38\u0c3e\u0c28\u0c4d\u0c28\u0c3f \u0c24\u0c40\u0c38\u0c3f\u0c35\u0c47\u0c2f\u0c41\u0c2e\u0c41.
\n(i) 2x + y, x – y
\n\u0c38\u0c3e\u0c27\u0c28.
\n\u0c05\u0c21\u0c4d\u0c21\u0c41 \u0c35\u0c30\u0c41\u0c38 \u0c2a\u0c26\u0c4d\u0c26\u0c24\u0c3f:
\n(2x + y) – (x + y)
\n= 2x + y – x + y
\n= (2x – x) + y + y
\n= x + 2y
\n(\u0c2c\u0c4d\u0c30\u0c3e\u0c15\u0c46\u0c1f\u0c4d \u0c15\u0c41 \u0c2e\u0c41\u0c02\u0c26\u0c41 \u0c09\u0c28\u0c4d\u0c28\u0c2a\u0c41\u0c21\u0c41 \u0c2c\u0c4d\u0c30\u0c3e\u0c15\u0c46\u0c1f\u0c4d \u0c32\u0c4b\u0c28\u0c3f \u0c2a\u0c26\u0c3e\u0c32 \u0c17\u0c41\u0c30\u0c4d\u0c24\u0c41\u0c32\u0c41 \u0c2e\u0c3e\u0c30\u0c41\u0c24\u0c3e\u0c2f\u0c3f. \u0c05\u0c28\u0c17\u0c3e \u0c26\u0c3e\u0c28\u0c3f \u0c38\u0c02\u0c15\u0c32\u0c28 \u0c35\u0c3f\u0c32\u0c4b\u0c2e\u0c3e\u0c28\u0c4d\u0c28\u0c3f \u0c30\u0c3e\u0c38\u0c4d\u0c24\u0c3e\u0c2e\u0c41.)<\/p>\n

\u0c28\u0c3f\u0c32\u0c41\u0c35\u0c41 \u0c35\u0c30\u0c41\u0c38 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f:
\n\"AP<\/p>\n

(ii) a + 2b + c, – a – b – 3c
\n\u0c38\u0c3e\u0c27\u0c28.
\n\u0c05\u0c21\u0c4d\u0c21\u0c41 \u0c35\u0c30\u0c41\u0c38 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f:
\n(a + 2b + c) – (- a – b – 3c)
\n= a + 2b + c + a + b + 3c
\n= (a + a) + (2b + b) + (c + 3c)
\n= 2a + 3b + 4c<\/p>\n

\u0c28\u0c3f\u0c32\u0c41\u0c35\u0c41 \u0c35\u0c30\u0c41\u0c38 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f:
\n\"AP<\/p>\n

(iii) 2l2<\/sup> – 3lm + 5m2<\/sup>, 3l2<\/sup> – 4lm + 6m2<\/sup>
\n\u0c38\u0c3e\u0c27\u0c28.
\n\u0c05\u0c21\u0c4d\u0c21\u0c41 \u0c35\u0c30\u0c41\u0c38 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f :
\n(2l2<\/sup> – 3lm + 5m2<\/sup>) – (3l2<\/sup> – 4lm + 6m2<\/sup>)
\n= 2l2<\/sup> – 3lm + 5m2<\/sup> – 3l2<\/sup> + 4lm – 6m2<\/sup>
\n= (2l2<\/sup> – 3l2<\/sup>) + (- 3lm + 4lm) + (5m2<\/sup> – 6m2<\/sup>)
\n= – l2<\/sup> + lm – m2<\/sup><\/p>\n

\u0c28\u0c3f\u0c32\u0c41\u0c35\u0c41 \u0c35\u0c30\u0c41\u0c38 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f:
\n\"AP<\/p>\n

\"AP<\/p>\n

(iv) 7 – x – 3x2<\/sup>, 2x2<\/sup> – 5x – 3
\n\u0c38\u0c3e\u0c27\u0c28.
\n7 – x – 3x2<\/sup> \u0c2a\u0c4d\u0c30\u0c3e\u0c2e\u0c3e\u0c23\u0c3f\u0c15 \u0c30\u0c42\u0c2a\u0c02 = – 3x2<\/sup> – x + 7<\/p>\n

\u0c05\u0c21\u0c4d\u0c21\u0c41 \u0c35\u0c30\u0c41\u0c38 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f:
\n(- 3x2<\/sup> – x + 7) – (2x2<\/sup> – 5x – 3)
\n= – 3x2<\/sup> – x + 7 – 2x2<\/sup> + 5x + 3
\n= (- 3x2<\/sup> – 2x2<\/sup>) + ( x + 5x) + (7 + 3)
\n= – 5x2<\/sup> + 4x + 10<\/p>\n

\u0c28\u0c3f\u0c32\u0c41\u0c35\u0c41 \u0c35\u0c30\u0c41\u0c38 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f:
\n\"AP<\/p>\n

(v) 6m3<\/sup> + 4m2<\/sup> + 7m – 3, 2m3<\/sup> + 4
\n\u0c38\u0c3e\u0c27\u0c28.
\n\u0c05\u0c21\u0c4d\u0c21\u0c41 \u0c35\u0c30\u0c41\u0c38 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f:
\n(6m3<\/sup> + 4m2<\/sup> + 7m – 3) + (- 2m3<\/sup> – 4)
\n= 6m3<\/sup> + 4m2<\/sup> + 7m – 3 – 2m3<\/sup> – 4
\n= (6m3<\/sup> – 2m3<\/sup>) + 4m2<\/sup> + 7m + (- 3 – 4)
\n= 4m3<\/sup> + 4m2<\/sup> + 7m – 7<\/p>\n

\u0c28\u0c3f\u0c32\u0c41\u0c35\u0c41 \u0c35\u0c30\u0c41\u0c38 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f:
\n\"AP<\/p>\n

\"AP<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 5.
\n\u0c2a\u0c4a\u0c21\u0c35\u0c41 6x + y, \u0c35\u0c47\u0c21\u0c32\u0c4d\u0c2a\u0c41 3x – 2 \u0c17\u0c3e \u0c17\u0c32 \u0c26\u0c40\u0c30\u0c4d\u0c18\u0c1a\u0c24\u0c41\u0c30\u0c38\u0c4d\u0c30\u0c02 \u0c2f\u0c4a\u0c15\u0c4d\u0c15 \u0c1a\u0c41\u0c1f\u0c4d\u0c1f\u0c41\u0c15\u0c4a\u0c32\u0c24\u0c28\u0c41 \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c02\u0c21\u0c3f.
\n\"AP
\n\u0c38\u0c3e\u0c27\u0c28.
\n\"AP
\n\u0c26\u0c40\u0c30\u0c4d\u0c18\u0c1a\u0c24\u0c41\u0c30\u0c38\u0c4d\u0c30 \u0c1a\u0c41\u0c1f\u0c4d\u0c1f\u0c41\u0c15\u0c4a\u0c32\u0c24
\n= AB + BC + CD + DA
\n= (6x + y) + (3x – 2y) + (6x + y) + (3x – 2y)
\n= (6x + 3x + 6x + 3x) + [y + (- 2y) + y + (-2y)]
\n= 18x + [2y + (- 4y)]
\n= 18x + (-2y)
\n= 18x – 2y
\n\u2234 \u0c26\u0c40\u0c30\u0c4d\u0c18\u0c1a\u0c24\u0c41\u0c30\u0c38\u0c4d\u0c30 \u0c1a\u0c41\u0c1f\u0c4d\u0c1f\u0c41\u0c15\u0c4a\u0c32\u0c24 = 18x – 25 \u0c2f\u0c42.<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 6.
\na + 3b, a – b, 2a – b \u0c2d\u0c41\u0c1c\u0c3e\u0c32\u0c41\u0c17\u0c3e \u0c17\u0c32 \u0c24\u0c4d\u0c30\u0c3f\u0c2d\u0c41\u0c1c\u0c02 \u0c2f\u0c4a\u0c15\u0c4d\u0c15 \u0c1a\u0c41\u0c1f\u0c4d\u0c1f\u0c41\u0c15\u0c4a\u0c32\u0c24\u0c28\u0c41 \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c02\u0c21\u0c3f.
\n\"AP
\n\u0c38\u0c3e\u0c27\u0c28.
\n\"AP<\/p>\n

\u0c24\u0c4d\u0c30\u0c3f\u0c2d\u0c41\u0c1c \u0c1a\u0c41\u0c1f\u0c4d\u0c1f\u0c41\u0c15\u0c4a\u0c32\u0c24
\n= AB + BC + AC
\n= (a + 3b) + (a – b) + (2a – b)
\n= (a + 2a + a) + (3b – b – b)
\n= 4a + (3b – 2b)
\n= 4a + b
\n\u2234 \u0c24\u0c4d\u0c30\u0c3f\u0c2d\u0c41\u0c1c\u0c02 \u0c2f\u0c4a\u0c15\u0c4d\u0c15 \u0c1a\u0c41\u0c1f\u0c4d\u0c1f\u0c41\u0c15\u0c4a\u0c32\u0c24 = 4a + b \u0c2f\u0c42.<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 7.
\n6x2<\/sup> – 8xy – y2<\/sup> \u0c2e\u0c30\u0c3f\u0c2f\u0c41 2xy – 2y2<\/sup> – x2<\/sup> \u0c32 \u0c2e\u0c4a\u0c24\u0c4d\u0c24\u0c02 \u0c28\u0c41\u0c02\u0c1a\u0c3f, x2<\/sup> – 5xy + 2y2<\/sup> \u0c2e\u0c30\u0c3f\u0c2f\u0c41 y2<\/sup> – 2xy – 3x2<\/sup>\u0c32 \u0c2e\u0c4a\u0c24\u0c4d\u0c24\u0c2e\u0c41\u0c28\u0c41 \u0c24\u0c40\u0c38\u0c3f\u0c35\u0c47\u0c2f\u0c02\u0c21\u0c3f.
\n\u0c38\u0c3e\u0c27\u0c28.
\n\"AP<\/p>\n

\"AP<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 8.
\n1 + 2p – 3p2<\/sup> \u0c15\u0c41 \u0c0e\u0c02\u0c24 \u0c15\u0c32\u0c3f\u0c2a\u0c3f\u0c24\u0c47 p2<\/sup> – p – 1 \u0c35\u0c38\u0c4d\u0c24\u0c41\u0c02\u0c26\u0c3f?
\n\u0c38\u0c3e\u0c27\u0c28.
\n1 + 2p – 3p2<\/sup> \u0c15\u0c41 \u0c0e\u0c02\u0c24 \u0c15\u0c32\u0c3f\u0c2a\u0c3f\u0c24\u0c47 p2<\/sup> – p – 1 \u0c35\u0c38\u0c4d\u0c24\u0c41\u0c02\u0c26\u0c4b \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c41\u0c1f\u0c15\u0c41 \u0c2e\u0c28\u0c02 p2<\/sup> – p – 1 \u0c28\u0c41\u0c02\u0c21\u0c3f 1 + 2p – 3p2<\/sup> \u0c28\u0c41 \u0c24\u0c40\u0c38\u0c3f\u0c35\u0c47\u0c2f\u0c35\u0c32\u0c46\u0c28\u0c41.
\n\"AP
\n1 + 2p – 3p2<\/sup> \u0c15\u0c41 4p2<\/sup> – 3p – 2 \u0c15\u0c32\u0c3f\u0c2a\u0c3f\u0c28 p2<\/sup> – p – 1 \u0c35\u0c38\u0c4d\u0c24\u0c41\u0c02\u0c26\u0c3f.<\/p>\n

\u0c38\u0c30\u0c3f\u0c1a\u0c42\u0c1a\u0c41\u0c1f
\n1 + 2p – 3p2<\/sup> \u0c2a\u0c4d\u0c30\u0c3e\u0c2e\u0c3e\u0c23\u0c3f\u0c15 \u0c30\u0c42\u0c2a\u0c02
\n\"AP<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 9.
\n3a2<\/sup> – 4b2<\/sup> + 5ab + 20 \u0c28\u0c41\u0c02\u0c1a\u0c3f \u0c0e\u0c02\u0c24 \u0c24\u0c40\u0c38\u0c3f\u0c35\u0c47\u0c38\u0c4d\u0c24\u0c47 – a2<\/sup> – b2<\/sup> + 6ab + 3 \u0c35\u0c38\u0c4d\u0c24\u0c41\u0c02\u0c26\u0c3f ?
\n\u0c38\u0c3e\u0c27\u0c28.
\n(3a2<\/sup> – 4b2<\/sup> + 5ab + 20 \u0c28\u0c41\u0c02\u0c21\u0c3f \u0c0e\u0c02\u0c24 \u0c24\u0c40\u0c38\u0c3f\u0c35\u0c47\u0c38\u0c3f\u0c28 – a2<\/sup> – b2<\/sup> + 6ab + 3 \u0c35\u0c38\u0c4d\u0c24\u0c41\u0c02\u0c26\u0c4b \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c41\u0c1f\u0c15\u0c41 \u0c2e\u0c28\u0c02 3a2<\/sup> – 4b2<\/sup> + 5ab + 20 \u0c28\u0c41\u0c02\u0c21\u0c3f – a2<\/sup> – b2<\/sup> + 6ab + 3 \u0c28\u0c3f \u0c24\u0c40\u0c38\u0c3f\u0c35\u0c47\u0c2f\u0c3e\u0c32\u0c3f.)
\n\"AP
\n3a2<\/sup> – 4b2<\/sup> + 5ab + 20 \u0c28\u0c41\u0c02\u0c21\u0c3f
\n4a2<\/sup> – 3b2<\/sup> – ab + 17 \u0c28\u0c41 \u0c24\u0c40\u0c38\u0c3f\u0c35\u0c47\u0c38\u0c3f\u0c28
\n– a2<\/sup> – b2<\/sup> + 6ab + 3 \u0c35\u0c38\u0c4d\u0c24\u0c41\u0c02\u0c26\u0c3f.<\/p>\n

\u0c38\u0c30\u0c3f\u0c1a\u0c42\u0c1a\u0c41\u0c1f:
\n\"AP<\/p>\n

\u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 10.
\nA = 4x2<\/sup> + y2<\/sup> – 6xy;
\nB = 3y2<\/sup> + 12x2<\/sup> + 8xy;
\nC = 6x2<\/sup> + 8y2<\/sup> + 6xy \u0c05\u0c2f\u0c3f\u0c28 .
\n(i) A + B + C
\n(ii) (A – B) – C \u0c32\u0c28\u0c41 \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c41\u0c2e\u0c41.
\n\u0c38\u0c3e\u0c27\u0c28.
\n(i) A + B + C (\u0c05\u0c21\u0c4d\u0c21\u0c41 \u0c35\u0c30\u0c41\u0c38 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f):
\n(4x2<\/sup> + y2<\/sup> – 6xy) + (3y2<\/sup> + 12x2<\/sup> + 8xy) + (6x2<\/sup> + 8y2<\/sup> + 6xy)
\n= (4x2<\/sup>+ 12x2<\/sup> + 6x2<\/sup>) + (y2<\/sup> + 3y2<\/sup> + 8y2<\/sup>) + (- 6xy + 8xy + 6xy)
\n= 22x2<\/sup> + 12y2<\/sup> + 8xy<\/p>\n

\u0c28\u0c3f\u0c32\u0c41\u0c35\u0c41 \u0c35\u0c30\u0c41\u0c38 \u0c2a\u0c26\u0c4d\u0c27\u0c24\u0c3f:
\n\"AP
\n\u2234 A + B + C = 22x2<\/sup> + 12y2<\/sup> + 8xy<\/p>\n

\"AP<\/p>\n

(ii) (A – B) – C
\n[(A – B) – C \u0c28\u0c3f \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c41\u0c1f\u0c15\u0c41 \u0c2e\u0c28\u0c02 \u0c2e\u0c4a\u0c26\u0c1f A – B\u0c28\u0c3f \u0c15\u0c28\u0c41\u0c17\u0c4a\u0c28\u0c3e\u0c32\u0c3f]
\nA – B =
\n\"AP
\n\u2234 (A – B) – C = – 14x2<\/sup> – 10y2<\/sup> – +20xy<\/p>\n","protected":false},"excerpt":{"rendered":"

SCERT\u00a0AP 7th Class Maths Solutions Pdf Chapter 9 \u0c2c\u0c40\u0c1c\u0c40\u0c2f \u0c38\u0c2e\u0c3e\u0c38\u0c3e\u0c32\u0c41 Ex 9.3 Textbook Exercise Questions and Answers. AP State Syllabus 7th Class Maths Solutions 9th Lesson \u0c2c\u0c40\u0c1c\u0c40\u0c2f \u0c38\u0c2e\u0c3e\u0c38\u0c3e\u0c32\u0c41 Exercise 9.3 \u0c2a\u0c4d\u0c30\u0c36\u0c4d\u0c28 1. \u0c15\u0c3f\u0c02\u0c26\u0c3f \u0c38\u0c2e\u0c3e\u0c38\u0c3e\u0c32 \u0c2a\u0c4d\u0c30\u0c3e\u0c2e\u0c3e\u0c23\u0c3f\u0c15 \u0c30\u0c42\u0c2a\u0c02 \u0c2e\u0c30\u0c3f\u0c2f\u0c41 \u0c38\u0c02\u0c15\u0c32\u0c28 \u0c35\u0c3f\u0c32\u0c4b\u0c2e\u0c02 \u0c30\u0c3e\u0c2f\u0c02\u0c21\u0c3f. (i) – 6a \u0c38\u0c3e\u0c27\u0c28. \u0c2a\u0c4d\u0c30\u0c3e\u0c2e\u0c3e\u0c23\u0c3f\u0c15 \u0c30\u0c42\u0c2a\u0c02 = – 6a \u0c38\u0c02\u0c15\u0c32\u0c28 \u0c35\u0c3f\u0c32\u0c4b\u0c2e\u0c02 = – (- 6a) … Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[9],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts\/20032"}],"collection":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/comments?post=20032"}],"version-history":[{"count":1,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts\/20032\/revisions"}],"predecessor-version":[{"id":20033,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts\/20032\/revisions\/20033"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/media?parent=20032"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/categories?post=20032"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/tags?post=20032"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}