Answer
$2x^3+7x^2+10x-7$
Work Step by Step
RECALL:
The distributive property states that for any real numbers a, b, and c:
$a(b+c) = ab+ac
\\a(b-c) = ab - ac$
Use the distributive property (which is shown above) to obtain:
$=2x(x^2+4x+7)-1(x^2+4x+7)
\\=2x(x^2)+2x(4x)+2x(7)-1(x^2) -1(4x)-1(7)
\\=2x^3+8x^2+14x-x^2-4x-7$
Combine like terms to obtain:
$=2x^3+(8x^2-x^2)+(14x-4x)-7
\\=2x^3+7x^2+10x-7$
