MATHEMATICS AND SCIENCE CLASSES
BY P.S.GAUR ADDRESS BANARSIADAS AURAIYA MOB NO 7906190438
TH
CLASS – 9 TOPIC - FACTORIZATION TOTAL MARK 30
SECTION -A 1 MARK EACH
1- the common factor between x2y + xy2 and 2xy + 4xy is :
a) xy b) x
c) y d) 2
2-what is the factors of 3x3+4y3:
a) (3x+4y) b) (9x2+16y2-12xy)
c) none of these d) both A and B
3- factors of x3y – xy3 is :
a) xy(x + y)(x - y) b) xy
c)x d) xy(x2-y2)
4- the expression a2+b2 can be written as :
a) (a + b)2-2ab b) (a+b)(a-b)
c) (a+b)2 d)none of these
5- If { (a - b)2 + (b - c)2 + (c - a)2 } = 0 then :
a) a = b = c b) a ≠ b ≠ c
c) a = b ≠ c d) a ≠ b = c
6- If a + b + c = 0 then :
a) a3+b3+c3= -3abc b) a3+b3+c3=3abc c) a3= b3+c3 d) none of these
7- what is the factors of 16(x-y)2 – (x+2y)2:
a) (3x+6y)(5x-2y) b) (5x+2y)2 c) (5x-2y)(3x-6y) d) (x+y)2
8- which one is the factor of 12 – (a+a2)(8-a-a2):
a) (a+3) b) (a+1) c) (a-3) d) (a+4)
9- which is not a factor of a4 - b4 :
a) (a + b) b) (a - b) c) (a2 - b2) d) none of these
10- The simplest form of ac + ad + bc + bd is :
a) (a + c)(b + b) b) (a + b)(c + d) c) a+b d) none of these
section – B 2 MARK EACH
1- factorize x3 + x – 3x2 – 3
2-factorize a(a + b)3 – 3a2b(a + b)
3-factorize: a2x2 + (ax2 +1)x + a and 2a2 + 2√6ab +3b2
4- factorize: x2 + y – xy – x and 4(x – y)2 – 12(x -y) (x + y) + 9(x + y)2
5- factorize : xy9 – yx9 and x2 + 2√3x – 24
6- factorize :(i) x3 - 12x(x - 4) – 64
(ii) 4a2+9b2+6ab
(iii) a3x3-3a2bx2+3ab2x – b3
(iv) a3 - 3a2b + 3ab2- b3 + 8
(v) x8- y8
7- factorize : (i) a3+8b3+64c3-24abc
(ii) 8x3+27y3-216z3+108xyz
(iii) 4(x – y)2 – 12(x -y) (x + y) + 9(x + y)2
8 – evaluate: (i) (3x – 2y)3 + (2y – 4z)3 + (4z – 3x)3
(ii) (a – b + c)2 + (b – c + a)2 + 2(a – b + c) (b – c + a)
9- factorize: x4 + x2y2 + y4
10- factorize : a2 + b2 + 2(ab + bc + ca)
BEST OF LUCK
