Factor 5a^2-180

Math
5a2-180
Factor 5 out of 5a2-180.
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Factor 5 out of 5a2.
5(a2)-180
Factor 5 out of -180.
5a2+5⋅-36
Factor 5 out of 5a2+5⋅-36.
5(a2-36)
5(a2-36)
Rewrite 36 as 62.
5(a2-62)
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=a and b=6.
5((a+6)(a-6))
Remove unnecessary parentheses.
5(a+6)(a-6)
5(a+6)(a-6)
Factor 5a^2-180

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