9th Mathematics Chapter5 Factorization

Sr #	Questions	A	B	C	D
1	Factorize $4 x^{2} + 12 x y + 9 y^{2}$	( 2 � + 3 � ) 2 (2x+3y) 2	(2x−3y) 2	( 2 � + 3 � ) ( 2 � − 3 � ) (2x+3y)(2x−3y)	4(x+3y)(x+3y)
2	What is the factorization of $9 m^{2} - 4 n^{2}$ ?	(3m+2n)(3m−2n)	(3m−2n)(3m+2n)	9 ( � + 2 � ) ( � − 2 � ) 9(m+2n)(m−2n)	(2m−n)(2m+n)
3	Which expression is equivalent to $a^{2} + 6 ab + 9 b^{2}$ ?	( � + 3 ) 2 (a+3) 2	(a+3)(a−3)	a 2 +9b 2	(a+9)(b−1)
4	Factorize $4 x^{2} - 12 x + 9$ .	(2x−3) 2	(2x−3)(2x+3)	4(x−3)(x+1)	( 2 � + 3 ) 2 (2x+3) 2
5	Factorize $36 x^{2} - 100 y^{2}$	( 6 � + 10 � ) ( 6 � − 10 � ) (6x+10y)(6x−10y)	( 6 � − 10 � ) ( 6 � + 10 � ) (6x−10y)(6x+10y)	36(x+5y)(x−5y)	9 ( 2 � − 5 � ) ( 2 � + 5 � ) 9(2x−5y)(2x+5y)
6	Factorize $x^{2} + 6 x + 9$	( � + 3 ) 2 (x+3) 2	(x+3)(x−3)	x 2 +9	(x+9)(x−1)
7	Which expression is equivalent to $a^{2} - 5 a + 6$ ?	( � − 2 ) ( � − 3 ) (a−2)(a−3)	(a+2)(a+3)	( � − 6 ) ( � + 1 ) (a−6)(a+1)	( � − 5 ) ( � − 1 ) (a−5)(a−1)
8	What is the factorization of $4 p^{2} - q^{2}$ ?	( 2 � + � ) ( 2 � − � ) (2p+q)(2p−q)	( 2 � − � ) ( 2 � + � ) (2p−q)(2p+q)	4(p−q)(p+q)	9 ( 2 � − � ) ( 2 � + � ) 9(2p−q)(2p+q)
9	What is the factorization of $16 m^{2} - 4$ ?	(4m−2)(4m+2)	( 4 � − 2 ) 2 (4m−2) 2	4 ( 2 � − 1 ) ( 2 � + 1 ) 4(2m−1)(2m+1)	16(m−1)(m+1)
10	What is the factorization of $x^{2} + 8 x + 16$ ?	(x−4) 2	(x+4) 2	( � + 8 ) ( � − 2 ) (x+8)(x−2)	� 2 + 64 x 2 +64
11	Factorize $x^{2} + 2 x y + y^{2}$	(x+y) 2	(x−y) 2	( � + � ) ( � − � ) (x+y)(x−y)	x 2 +y 2
12	What is the factorization of $x^{2} - 4$ ?	(x−2) 2	( � + 2 ) ( � − 2 ) (x+2)(x−2)	x 2 +4	� 2 − 2 x 2 −2
13	Factorize the expression $9 a^{2} - 16 b^{2}$	(3a+4b)(3a−4b)	( 3 � − 4 � ) ( 3 � + 4 � ) (3a−4b)(3a+4b)	9 ( � − 2 � ) ( � + 2 � ) 9(a−2b)(a+2b)	(3a−2b)(3a+2b)
14	Factorize $x^{2} + 5 x + 6$ .	( � + 2 ) ( � + 3 ) (x+2)(x+3)	(x−2)(x−3)	( � + 6 ) ( � − 1 ) (x+6)(x−1)	( � − 5 ) ( � − 1 ) (x−5)(x−1)
15	Factorize $x^{2} - 10 x + 25$ .	( � − 5 ) 2 (x−5) 2	(x−5)(x+5)	x 2 −5	( � − 2 ) 2 (x−2) 2
16	Factorize $16 x^{2} - 25 y^{2}$ .	(4x+5y)(4x−5y)	( 4 � − 5 � ) ( 4 � + 5 � ) (4x−5y)(4x+5y)	16 ( � + 5 � ) ( � − 5 � ) 16(x+5y)(x−5y)	9 ( 2 � − � ) ( 2 � + � ) 9(2x−y)(2x+y)
17	Which of the following is a factor of $x^{2} - 64$ ?	( � − 8 ) ( � + 8 ) (x−8)(x+8)	(x+8)(x−8)	8(x−2)(x+2)	x 2 +8 2
18	Factorize $x^{2} - 7 x + 12$ .	(x−3)(x−4)	(x+3)(x−4)	( � − 3 ) ( � − 2 ) (x−3)(x−2)	(x−7)(x+2)
19	Which expression is equivalent to $a^{2} - 4$ ?	( � + 2 ) ( � − 2 ) (a+2)(a−2)	( � − 2 ) 2 (a−2) 2	� 2 + 2 2 a 2 +2 2	(a+4)(a−1)
20	What is the factorization of $25 x^{2} - 16$ ?	( 5 � − 4 ) ( 5 � + 4 ) (5x−4)(5x+4)	(5x+4)(5x−4)	25 ( � − 2 ) ( � + 2 ) 25(x−2)(x+2)	9(3x−2)(3x+2)
21	If $a^{2} - b^{2} = (a + b) (a - b)$ , what is the factorization of $x^{2} - 9$ ?	( � + 3 ) ( � − 3 ) (x+3)(x−3)	(x+3) 2	x 2 +9	(x−9)(x+1)
22	Factorize $25 a^{2} - 10 ab + b^{2}$	( 5 � − � ) 2 (5a−b) 2	( 5 � + � ) 2 (5a+b) 2	(5a−b)(5a+b)	25(a−b)(a+b)
23	What is the factorization of $x^{2} - 5 x y + 6 y^{2}$ ?	( � − 2 � ) ( � − 3 � ) (x−2y)(x−3y)	( � + 2 � ) ( � − 3 � ) (x+2y)(x−3y)	(x−2y)(x+3y)	(x+2y)(x+3y)
24	Which of the following is a factor of $12 x + 18$ ?	3 ( � + 2 ) 3(x+2)	2(6x+9)	6(2x+3)	4 ( 3 � + 4 ) 4(3x+4)
25	Factorize $9 m^{2} + 12 mn + 4 n^{2}$ .	( 3 � + 2 � ) 2 (3m+2n) 2	(3m−2n) 2	(3m+2n)(3m−2n)	9(m+2n)(m+2n)