# Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary: 9p^{2}-24p+16

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor is necessary:
$9{p}^{2}-24p+16$
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Given,
$9{p}^{2}-24p+16$
Step 2
On simplification, we get
$9{p}^{2}-24p+16=9{p}^{2}-12p-12p+16$
$=3p\left(3p-4\right)-4\left(3p-4\right)$
$=\left(3p-4\right)\left(3p-4\right)$
$={\left(3p-4\right)}^{2}$