Factor 4w^3-36w

Math
4w3-36w
Factor 4w out of 4w3-36w.
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Factor 4w out of 4w3.
4w(w2)-36w
Factor 4w out of -36w.
4w(w2)+4w(-9)
Factor 4w out of 4w(w2)+4w(-9).
4w(w2-9)
4w(w2-9)
Rewrite 9 as 32.
4w(w2-32)
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=w and b=3.
4w((w+3)(w-3))
Remove unnecessary parentheses.
4w(w+3)(w-3)
4w(w+3)(w-3)
Factor 4w^3-36w

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