Factor 180w^2-245

Math
180w2-245
Factor 5 out of 180w2-245.
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Factor 5 out of 180w2.
5(36w2)-245
Factor 5 out of -245.
5(36w2)+5(-49)
Factor 5 out of 5(36w2)+5(-49).
5(36w2-49)
5(36w2-49)
Rewrite 36w2 as (6w)2.
5((6w)2-49)
Rewrite 49 as 72.
5((6w)2-72)
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=6w and b=7.
5((6w+7)(6w-7))
Remove unnecessary parentheses.
5(6w+7)(6w-7)
5(6w+7)(6w-7)
Factor 180w^2-245

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