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9-5 Factoring Differences of Squares A

Total questions: 9

Worksheet time: 43mins

Name
Class
Date
1.

Factor 121x2 - 49

a)

(11x - 7) 2

b)

(11x - 7) (11x - 7)

c)

(11x + 7) (11x - 7)

d)

(12x + 7) (12x - 7)

2.

Factor each polynomial completely , if possible. If the polynomial cannot be factored, write prime.

32x42y432x^4-2y^4

a)

2(4x2+y2)(4x2y2)2\left(4x^2+y^2\right)\left(4x^2-y^2\right)

b)

prime

c)

2(4x2+y2)(2x+y)(2xy)2\left(4x^2+y^2\right)\left(2x+y\right)\left(2x-y\right)

d)

(4x2+y2)(2x+y)(2xy)\left(4x^2+y^2\right)\left(2x+y\right)\left(2x-y\right)

3.

Solve each equation by factoring.

4y2=254y^2=25

a)

y = {±52}\left\{\pm\frac{5}{2}\right\}

b)

y = {-2, 3}

c)

y = {-4, 4}

d)

y = {-3, 5}

4.

x2 + 81

a)

Prime

b)

( x - 9 ) ( x + 9 )

c)

( x + 9 ) ( x + 9 )

d)

( x - 9 ) ( x - 9 )

5.

Factor r2 - 9t2

a)

(r + 3t) (r - 3t)

b)

(r - 3t) (r - 3t)

c)

(3r + t) (3r - t)

d)

(r + 3t) (r + 3t)

6.

We can't factor using difference of two square this

49x2 + 4y2. Why?

a)

Because 4 is not a perfect cubed number.

b)

Because 4 is not a perfect squared number.

c)

Because 49 is not a perfect squared number.

d)

Because we can't factor using difference of two squares if it is addition sign.

7.

Solve each equation by factoring.

x2136=0x^2-\frac{1}{36}=0

a)
x = 1/5 or x = -1/5
b)
x = 1/4 or x = -1/4
c)
x = 1/6 or x = -1/6
d)
x = 1/3 or x = -1/3
8.

Factor 4m2 - 49

a)

(2m + 7) (2m - 7)

b)

(2m - 7) (2m - 7)

c)

(m2 + 7) (m2 - 7)

d)

Can't factor using Diff. of Squares

9.

Factor each polynomial completely , if possible. If the polynomial cannot be factored, write prime.

49a24-9a^2

a)
(2-3a)(2-3a)
b)
(2-3a)(2+3a)
c)
(4-9a)(1)
d)
(2+3a)(2-3a)