Answer
$36x^{3}-11x^{2}-8x-3$
Work Step by Step
$(9x^{2}+4x+1)(4x-3)$
Distribute: first the $4x$ and then the $(-3)$
$(4x)(9x^{2})+(4x)(4x)+(4x)(1)+(-3)(9x^{2})+(-3)(4x)+(-3)(1)$
Simplify
$-36x^{3}+16x^{2}+4x-27x^{2}-12x-3$
Combine like terms
$36x^{3}-11x^{2}-8x-3$