Answer
$9x^3+6x^2-3x=3x(3x-1)(x+1)$
Work Step by Step
Factor out the GCF $3x$ to get
$3x(3x^2+2x-1)$.
Factor the trinomial to get
$3x(3x-1)(x+1)$.
Check by multiplying the factors:
$\\3x(3x^2+3x-x-1)
\\=3x(3x^2+2x-1)
\\=9x^3+6x^2-3x.$