Answer
$2x^3+17x^2+26x-24$
Work Step by Step
RECALL:
The distributive property states that for any real numbers a, b, and c:
$a(b+c) = ab+ac \\AND
\\a(b-c) = ab-ac$
Use the distributive property (which is shown above) to obtain:
$=x(2x^2+5x-4)+6(2x^2+5x-4)
\\=2x^3+5x^2-4x + 12x^2+30x-24$
Combine like terms to obtain:
$=2x^3+(5x^2+12x^2)+(-4x+30x)-24
\\=2x^3+17x^2+26x-24$