Final answer to the problem
$\left(a+9\right)\left(7+a\right)$
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Step-by-step Solution
Specify the solving method
1
Factor the polynomial $\left(a+9\right)^2-2\left(a+9\right)$ by it's greatest common factor (GCF): $a+9$
$\left(a+9\right)\left(a+9-2\right)$
2
Subtract the values $9$ and $-2$
$\left(a+9\right)\left(7+a\right)$
Final answer to the problem
$\left(a+9\right)\left(7+a\right)$