Regents Exam Questions
Name: ________________________
A.A.19: Factoring the Difference of Perfect Squares 2
A.A.19: Factoring the Difference of Perfect Squares 2: Identify and factor the difference of two
perfect squares
27
16 is
2
2
2
1 Factor completely: 3x
5 One factor of the expression x
y
xy 4
3(x 3)
2
1)
1)
xy 8
27)
2)
2
2)
3(x
4
3(x 3)(x 3)
2
3)
x
3)
(3x 3)(x 9)
8
2
x
4)
4)
9 and x
5x 6 ?
2
2
2
Written in simplest factored form, the binomial
6 What is a common factor of x
x 3
50
2
1)
2x
can be expressed as
x 3
2(x 5)(x 5)
2)
1)
x 2
2(x 5)(x 5)
3)
2)
2
(x 5)(x 5)
x
4)
3)
2x(x 50)
4)
80
2
7 Factor completely: 5n
9b
2
2
3 Expressed in factored form, the binomial 4a
is equivalent to
(2a 3b)(2a 3b)
1)
(2a 3b)(2a 3b)
2)
98x
3
8 Factor completely: 2x
(4a 3b)(a 3b)
3)
(2a 9b)(2a b)
4)
x
3
9 Factor completely: 9x
9 is
2
4 One of the factors of 4x
(x 3)
1)
(2x 3)
2)
(4x 3)
3)
192x
3
10 Factor completely: 3x
(x 3)
4)
27a
2
11 Factor completely: 3ax
180y
2
3
12 Factor completely: 5x
y
1