Answer
$\cos^{3}x+\sin^{2}x\cos x=\cos x$
Work Step by Step
$\cos^{3}x+\sin^{2}x\cos x$
Take out common factor $\cos x$:
$\cos^{3}x+\sin^{2}x\cos x=\cos x(\cos^{2}x+\sin^{2}x)=...$
Since $\cos^{2}x+\sin^{2}x=1$, this expression becomes:
$...=\cos x$
