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QueasyUnicorn14

Factor 25 out of 25a^2−100.

 

Factor 25 out of 25a^2.

25(a^2)−100

Factor 25 out of −100.

25a^2+25⋅−4

Factor 25 out of 25a^2+25⋅−4.

25(a^2−4)

Rewrite 4 as 2^2.

25(a^2−2^2)

Factor.

Since both terms are perfect squares, factor using the difference of squares formula, a^2−b^2=(a+b)(a−b) where a=a and b=2.

25((a+2)(a−2))

Remove unnecessary parentheses.

25(a+2)(a−2)

I believe this is correct.

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