Factor 16r^2-169 - MathMaster

$16 r^{2} - 169$

Rewrite $16 r^{2}$ as ${(4 r)}^{2}$ .

${(4 r)}^{2} - 169$

Rewrite $169$ as $13^{2}$ .

${(4 r)}^{2} - 13^{2}$

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 4 r$ and $b = 13$ .

$(4 r + 13) (4 r - 13)$

Factor 16r^2-169

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