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Factoring a Difference Between Two Squares Worksheet

Answers

This page shows the final answer to each problem.  You may return to the Worksheet Page to quiz yourself or have your answers checked automatically.  If you would like assistance with a particular problem, click the " step-by-step" link for an in depth solution.

1
4x2 + -16
Answer
(2x + 4)(2x + -4)
step-by-step
2
-9 + j4
Answer
(j2 + 3)(j2 + -3)
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3
16 + -1k2
Answer
(4 + k)(4 + -1k)
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4
49 + -64x2
Answer
(7 + -8x)(7 + 8x)
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5
25z4 + -1
Answer
(5z2 + 1)(5z2 + -1)
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6
x2 + -1
Answer
(x + 1)(x + -1)
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7
100y6 + -100
Answer
(10y3 + 10)(10y3 + -10)
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8
81x2 + -25
Answer
(9x + 5)(9x + -5)
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9
-4x4 + 4
Answer
(2 + 2x2)(2 + -2x2)
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10
-100 + 4z2
Answer
(2z + 10)(2z + -10)
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11
x2y2 + -4
Answer
(xy + 2)(xy + -2)
step-by-step
12
x4y2 + -4
Answer
(x2y + 2)(x2y + -2)
step-by-step
13
x2 + -1y2
Answer
(x + y)(x + -1y)
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14
j2 + -1k4
Answer
(j + k2)(j + -1k2)
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15
100c2 + -25d2
Answer
(10c + 5d)(10c + -5d)
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16
36f2 + -49g2
Answer
(6f + 7g)(6f + -7g)
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17
81k6l4m2 + -16
Answer
(9k3l2m + 4)(9k3l2m + -4)
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18
x2 + -1z2
Answer
(x + z)(x + -1z)
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19
x2y2 + -1w2z2
Answer
(xy + wz)(xy + -1wz)
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20
x4 + -1y4
Answer
(x2 + y2)(x2 + -1y2)
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