Answer
$2\left( 4x^8+6x^4+9 \right)$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Get the $GCF$ of the given expression, $
8x^8+12x^4+18
.$ Divide the given expression and the $GCF.$ Express the answer as the product of the $GCF$ and the resulting quotient.
$\bf{\text{Solution Details:}}$
The $GCF$ of the constants of the terms $\{
8,12,18
\}$ is $
2
$ since it is the highest number that can divide all the given constants.
Factoring the $GCF=
2
,$ the expression above is equivalent to
\begin{array}{l}\require{cancel}
2\left( \dfrac{8x^8}{2}+\dfrac{12x^4}{2}+\dfrac{18}{2} \right)
\\\\=
2\left( 4x^8+6x^4+9 \right)
.\end{array}
