Factor 9z^2-36

Math
9z2-36
Factor 9 out of 9z2-36.
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Factor 9 out of 9z2.
9(z2)-36
Factor 9 out of -36.
9z2+9⋅-4
Factor 9 out of 9z2+9⋅-4.
9(z2-4)
9(z2-4)
Rewrite 4 as 22.
9(z2-22)
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=z and b=2.
9((z+2)(z-2))
Remove unnecessary parentheses.
9(z+2)(z-2)
9(z+2)(z-2)
Factor 9z^2-36

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