Answer
$(g+15)(g-15)$
Work Step by Step
$g^{2}-226=$
...rewrite $225$ as a square.
$=g^{2}-15^{2}$
...factor using the rule for a difference of two squares.
($a^{2}-b^{2})=(a+b)(a-b)$, $\quad a=g,\ b=15$)
$=(g+15)(g-15)$
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