Factor 8m^2-72n^2

Math
8m2-72n2
Factor 8 out of 8m2-72n2.
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Factor 8 out of 8m2.
8(m2)-72n2
Factor 8 out of -72n2.
8(m2)+8(-9n2)
Factor 8 out of 8(m2)+8(-9n2).
8(m2-9n2)
8(m2-9n2)
Rewrite 9n2 as (3n)2.
8(m2-(3n)2)
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=m and b=3n.
8((m+3n)(m-(3n)))
Factor.
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Multiply 3 by -1.
8((m+3n)(m-3n))
Remove unnecessary parentheses.
8(m+3n)(m-3n)
8(m+3n)(m-3n)
Factor 8m^2-72n^2

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