WorksheetsFactoring Difference of Two Squares
Total questions: 32
Worksheet time: 1hrs 4mins
Which is an example of difference of two squares?
( x3 - 4)
( x2 - 3)
( x2 + 4)
( x2 - 4)
If the area of your garden is ( d2 _ 16 ) and the length is
( d + 4) , what is the width?
( d+ 2)
( d - 2)
( d + 4)
(d - 4)
What is missing in (a4 - 25 ) = (a2 - ____) (a2 + 5 )
5
10
25
a2
Factor ( 4a2 - 36 )
( a - 6 ) ( a - 6 )
( 2a + 6 ) ( 2a - 6 )
( a + 6 ) ( a + 6 )
Not factorable
Factor 4x2-9
(4x-9)(4x+9)
(2x-3)(2x+3)
2x-3
(2x-4.5)(2x+4.5)
Which of these can factor using difference of two squares?
144x2 - 49y2
x2 + 4x - 12
100x2 + 20x + 1
14x - 16
We can't factor using difference of two square this
25x2 - 51y2. Why?
Because 51 is not a perfect cubed number.
Because 51 is not a perfect squared number.
Because 25 is not a perfect squared number.
Because we can't factor using difference of two squares if it is addition sign.
Factor m2 − 36
(m+18)(m−18)
(m+6)2
(m − 6)2
(m + 6)(m − 6)
We can't factor using difference of two square this
49x2 + 4y2. Why?
Because 4 is not a perfect cubed number.
Because 4 is not a perfect squared number.
Because 49 is not a perfect squared number.
Because we can't factor using difference of two squares if it is addition sign.
Factor x2-25
( x + 5 ) ( x - 5 )
( x - 5 ) ( x - 5 )
( x + 5 ) ( x + 5 )
Not factorable
Factor completely
25x2-81
(5x-9)2
(5x+9)(5x-9)
25(x-9)2
(9x+5)(9x-5)
Factor x4 − 16 completely
(x2 + 4)(x2 − 4)
(x + 2)(x − 2)(x2 − 4)
(x + 2)(x − 2)(x2 + 4)
(x + 2)(x + 2)(x2 + 4)
Factor completely.
49x2 + 16
( 7x + 4 ) ( 7x - 4 )
( 7x + 4 ) ( 7x + 4 )
( 7x - 4 ) 2
Not factorable
Factor 49n2 - 25
(3n + 5)(3n - 5)
(7n + 5)(7n - 5)
(5n + 7)(5n - 7)
Not Factorable
Factor x2 − 100
(x + 50)(x − 50)
(x + 10)(x − 10)
(x + 4)(x − 25)
(x − 10)2
Factor x2 − 25y2 completely
(x+12.5y)(x−12.5y)
(x+5y)(x−5y)
(x − 5y)2
(x+5y)2
Factor b2 − 121c2
(b −11c)(b + 11c)
(b −11c)2
(b−11c)(b − 11c)
(b + 11c)(b + 11c)
Factor 4r2 − 49
(2r+7)(2r−7)
(2r+7)2
(2r − 7)2
(2r + 24.5)(2r − 24.5)
Factor 4x2 − 1
(x − 1)(x +1)
(2x − 1)2
(2x + 1)(2x − 1)
(2x + 1)2
Factor r8 − 9s6
(r4 + 3s3)(r4 − 3s3)
(r4 + 3s2)(r4 − 3s2)
(r4 − 3s3)2
(r4 + 3s3)2
What is the factor of 16y4−121 ?
(4y2+11)(4y2+11)
(4y2−11)(4y2−11)
(4y2+11)(4y2−11)
Not factorable
Find the factor of 400x2−81y6 .
(200x+9y3)(200x+9y3)
(200x−9y3)(200x+9y3)
(200x+9y3)(200x+9y3)
Not factorable
Find the factor of 36−25x4 .
(−5x2+6)(5x2+6)
(−5x2+6)(5x2−6)
(5x2+6)(5x2+6)
(5x2+6)(5x2-6)
What is the factor of b2−144 ?
(b−12)(b−12)
(b+12)(b+12)
(b+12)(b−12)
Not factorable
Factor completely
x2−4y2
(x+4y)(x−4y)
(x+2y)(x−2y)
(x+2y)(x+2y)
Not factorable
Factor
x2+100 completely.
(x−100)(x+100)
(x+50)(x−50)
(x+10)(x−10)
Not factorable
Factor by rearranging to use difference of squares
-64 + x2
(x−8)(x+8)
(8−x)(8+x)
(x−16)(x+16)
(x−32)(x+32)
If one factor of the difference of two squares is x + 2, what is the other factor?
x - 2
x2 - 2
x2 - 22
(x - 2)2
Factor completely 32n2 - 50
(Check for a GCF)
(16n - 25)(16n + 25)
2(8n - 25)(8n + 25)
2(4n + 5)(4n - 5)
2(8n - 5)(8n + 5)
Factor
81m2 - 1
(m-9)(m+9)
9m(9m-1)
(9m-1)(9m+1)
(9m-1)(9m-1)
Which binomials are a difference of two squares?
I. 6a2-25
II. 4x2+16
III. b2-9
IV. 49y2-64
I only
III only
III and IV
II, III, and IV
Factor:
49-4y2
(y+7)(y-7)
(2y+7)(2y-7)
(7-4y)(7+4y)
(7-2y)(7+2y)
