WorksheetsFactoring By Identities Lesson 8
Total questions: 12
Worksheet time: 6mins
Name
Class
Date
1.
(a−b)(a+b) is
a)
a2+b2
b)
a2+2ab+b2
c)
a2−b2
d)
a3+b3
2.
x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
3.
x2 - 400
a)
( x - 200) ( x + 200)
b)
( x + 20) ( x + 20)
c)
Prime
d)
( x - 20) ( x + 20)
4.
By using a3+b3=(a+b)(a2−ab+b2) formula find 8x3+1
a)
(2x + 1)(4x2 - 2x + 1)
b)
(2x + 1)(2x - 1)
c)
(2x - 1)(4x2 + 2x + 1)
d)
prime
5.
x3 + 125
a)
(x + 5)(x2 - 5x + 25)
b)
(x + 5)(x - 5)
c)
(x - 5)(x2 + 5x + 1)
d)
prime
6.
x3 + 27
a)
(x + 3) (x2 - 3x + 9)
b)
(x - 3) (x2 + 3x + 9)
c)
(x + 3) (x2 - x3 + 3)
d)
(x + 9) (x2 - 3x + 9)
7.
x3 - 64y3
a)
(x - 4y)(x2 + 4xy + 16y2)
b)
(x + 4y)(x - 4y)
c)
(x - 4y)3
d)
prime
8.
8-27a3
a)
(2-3a)(4+6a+9a2)
b)
(3a-2)(3a2+6a+4)
c)
(2-3a)(3a2+6a+4)
d)
(2-3a)3
9.
x2 + 16x + 64
a)
(x + 8)2
b)
(x + 8) (x - 8)
c)
(x + 4) (x + 16)
d)
(x - 8)2
10.
9y2 + 24y + 16
a)
(3y - 4) (3y + 4)
b)
(3y + 4)2
c)
(3y - 4)2
d)
(9y + 4)2
11.
a2 - 10ab + 25b2
a)
(a + 25b)2
b)
(a + 5b)2
c)
(a - 5b)2
d)
(a - 5)2
12.
x2 - 24x + 144
a)
(x - 12)2
b)
(x + 12)2
c)
(x + 12) (x - 12)
d)
(x - 18) (x - 8)
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