## Intermediate Algebra (6th Edition)

$x^4-8x^3+24x^2-32x+16$
$(x-2)^4\longrightarrow$ Rewrite as squared binomials. $(x-2)^2(x-2)^2\longrightarrow$ Multiply using FOIL method $[x^2-4x+4][x^2-4x+4]\longrightarrow$ Regroup to create squared binomial $[(x^2-4x)+4]^2\longrightarrow$ Multiply using FOIL method $(x^2-4x)^2+2(4(x^2-4x)+16\longrightarrow$ Multiply the squared binomial using FOIL method. Apply distributive method. $x^4-8x^3+16x^2+8x^2-32x+16\longrightarrow$ Combine like terms. $x^4-8x^3+24x^2-32x+16$