## College Algebra 7th Edition

$2x^3-6x^2+4x$
Square the binomial using the formula $(a-b)^2=a^2-2ab+b^2$ with $a=x$ and $b=2$ to obtain: $=x^2(x-2)+x[x^2-2(x)(2) + 2^2] \\=x^2(x-2)+x(x^2-4x+4)$ Distribute $x^2$ and $x$ to obtain: $=x^2(x) -x^2(2) + x(x^2) -x(4x)+x(4) \\=x^3-2x^2+x^3-4x^2+4x$ Combine like terms to obtain: $=(x^3+x^3) + (-2x^2-4x^2) + 4x \\=2x^3-6x^2+4x$