Factor 180a^2-5

Math
180a2-5
Factor 5 out of 180a2-5.
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Factor 5 out of 180a2.
5(36a2)-5
Factor 5 out of -5.
5(36a2)+5(-1)
Factor 5 out of 5(36a2)+5(-1).
5(36a2-1)
5(36a2-1)
Rewrite 36a2 as (6a)2.
5((6a)2-1)
Rewrite 1 as 12.
5((6a)2-12)
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=6a and b=1.
5((6a+1)(6a-1))
Remove unnecessary parentheses.
5(6a+1)(6a-1)
5(6a+1)(6a-1)
Factor 180a^2-5

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