Factors: Algebraic Identities Worksheet Page 2

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Answer Key
Factorize each polynomial using algebraic identities.
64y – 1
343u + 8v
1)
2)
(4y – 1)(16y + 4y + 1)
(7u + 2v)(49u – 14uv + 4v )
27s + 216t
q – 125r
3)
4)
(3s + 6t)(9s – 18st + 36t )
(q – 5r)(q + 5qr + 25r )
8a – 512
27t + 8
5)
6)
(2a – 8)(4a + 16a + 64)
(3t + 2)(9t – 6t + 4)
p – 64q
x – y
7)
8)
(p – 4q)(p + 4pq + 16q )
(x – y)(x + xy + y )
27m + 729n
512c – 1000d
9)
10)
(3m + 9n)(9m – 27mn + 81n )
(8c – 10d)(64c + 80cd + 100d )
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