Factor 9u^4-81u^2

Math
9u4-81u2
Factor 9u2 out of 9u4-81u2.
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Factor 9u2 out of 9u4.
9u2(u2)-81u2
Factor 9u2 out of -81u2.
9u2(u2)+9u2(-9)
Factor 9u2 out of 9u2(u2)+9u2(-9).
9u2(u2-9)
9u2(u2-9)
Rewrite 9 as 32.
9u2(u2-32)
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=u and b=3.
9u2((u+3)(u-3))
Remove unnecessary parentheses.
9u2(u+3)(u-3)
9u2(u+3)(u-3)
Factor 9u^4-81u^2

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