Final answer to the problem
$x^2\left(4+x\right)^2$
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Step-by-step Solution
Specify the solving method
1
Factor the polynomial $\left(4x+x^2\right)$ by it's greatest common factor (GCF): $x$
$\left(x\left(4+x\right)\right)^2$
2
The power of a product is equal to the product of it's factors raised to the same power
$x^2\left(4+x\right)^2$
Final answer to the problem
$x^2\left(4+x\right)^2$