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Factor the following difference of squares. *Check for a GCF.

Factor the following difference of squares. *Check for a GCF.-example-1

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ANSWER

(x + 15)(x - 15)

Step-by-step explanation

The difference of squares is equivalent to the product of the sum and subtraction of the bases,


a^2-b^2=(a+b)(a-b)

So, to factor this difference of squares, we have to find the principal square roots of each term,


\begin{gathered} \sqrt[]{x^2}=x \\ \sqrt[]{225}=15 \end{gathered}

So this is,


x^2-225=x^2-15^2=(x+15)(x-15)

Hence, the factored form is (x + 15)(x - 15).

User Sam Corder
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