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Factorizing with Common Factors

Factorize $18x+27x^2$.

The Highest Common Factor of $18x$ and $27x^2$ is .
$18x+27x^2= \textcolor{red}{9x} \bigl($ $\bigl)$

Factorize $2x^3+x^2\left(x+1\right)$.

The Highest Common Factor of $2x^3$ and $x^2\left(x+1\right)$ is .
$2x^3+x^2\left(x+1\right)= \textcolor{red}{x^2} \Bigl($ $+\left(x+1\right)\Bigl)$
$\phantom{2x^3+x^2\left(x+1\right)}= \textcolor{red}{x^2} \bigl($ $\bigl)$

Factorize $6\left(x+3\right)\left(x-2\right)+8\left(x+3\right)^2$.

The Highest Common Factor of $6\left(x+3\right)\left(x-2\right)$ and $8\left(x+3\right)^2$ is $2\bigl($ $\bigl)$.
$6\left(x+3\right)\left(x-2\right)+8\left(x+3\right)^2= \textcolor{red}{2\left(x+3\right)}\Bigl($ $\bigl($ $\bigl)+$ $\bigl($ $\bigl)\Bigl)$
$\phantom{6\left(x+3\right)\left(x-2\right)-8\left(x+3\right)^2}= \textcolor{red}{2\left(x+3\right)}\bigl($ $\bigl)$