Answer
$x^3+8x^2+16x=x(x+4)^2$
Work Step by Step
Factor out the GCF x to get
$x(x^2+8x+16)$.
Factor the trinomial to get
$x(x+4)(x+4)$.
Check by multiplying the factors:
$x(x^2+4x+4x+16)
\\=x(x^2+8x+16)
\\=x^3+8x^2+16x$
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