Answer
$3x^2+10x+7$
Work Step by Step
RECALL:
For any real numbers a, b, and c:
$a(b+c)=ab + ac$
Use the distributive property (which is shown above) to obtain:
$=3x(x+1) + 7(x+1)
\\=3x(x) + 3x(1) + 7(x) + 7(1)
\\=3x^2+3x+7x+7
\\=3x^2+(3+7)x+7
\\=3x^2+10x+7$