Final answer to the problem
$\cos\left(a\right)\left(\cos\left(a\right)+\sin\left(a\right)^2\right)$
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Step-by-step Solution
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1
Factor the polynomial $\cos\left(a\right)^2+\sin\left(a\right)^2\cos\left(a\right)$ by it's greatest common factor (GCF): $\cos\left(a\right)$
$\cos\left(a\right)\left(\cos\left(a\right)+\sin\left(a\right)^2\right)$
Final answer to the problem
$\cos\left(a\right)\left(\cos\left(a\right)+\sin\left(a\right)^2\right)$