Factor 16w^3-v^4w^3

Math
16w3-v4w3
Factor w3 out of 16w3-v4w3.
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Factor w3 out of 16w3.
w3⋅16-v4w3
Factor w3 out of -v4w3.
w3⋅16+w3(-v4)
Factor w3 out of w3⋅16+w3(-v4).
w3(16-v4)
w3(16-v4)
Rewrite 16 as 42.
w3(42-v4)
Rewrite v4 as (v2)2.
w3(42-(v2)2)
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=4 and b=v2.
w3((4+v2)(4-v2))
Factor.
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Simplify.
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Rewrite 4 as 22.
w3((4+v2)(22-v2))
Factor.
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Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=2 and b=v.
w3((4+v2)((2+v)(2-v)))
Remove unnecessary parentheses.
w3((4+v2)(2+v)(2-v))
w3((4+v2)(2+v)(2-v))
w3((4+v2)(2+v)(2-v))
Remove unnecessary parentheses.
w3(4+v2)(2+v)(2-v)
w3(4+v2)(2+v)(2-v)
Factor 16w^3-v^4w^3

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