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

Factor The Following Difference Of Squares Check For A GCF class=

Sagot :

ANSWER

(x + 15)(x - 15)

EXPLANATION

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

[tex]a^2-b^2=(a+b)(a-b)[/tex]

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

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

So this is,

[tex]x^2-225=x^2-15^2=(x+15)(x-15)[/tex]

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

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