## College Algebra 7th Edition

$8x^3+12x^2+6x+1$
Use the formula $(a+b)^3 = a^3 + 3a^2b+3ab^2+b^3$ with $a=2x$ and $b=1$ to obtain: $(2x+1)^3 \\=(2x)^3 + 3(2x)^2(1) + 3(2x)(1^2) + 1^3 \\=8x^3+3(4x^2) + 6x(1)+1 \\=8x^3+12x^2+6x+1$