Question

(x^(2)-3x-54)/(x^(2)-18x+81)*(x^(2)+12x+36)/(x+16)

Simplify completely

Help please? Thanks!

Answer 1

(x^(2)-3x-54)/(x^(2)-18x+81)*(x^(2)+12x+36)/(x+16)


`(x^2-3x-54)/(x^2-18x+81) * (x^2+12x+36)/(x+16) =\\ \\ = ((x-9)(x+6))/((x-9)^2) * ((x+6)^2)/(x+16) = \\ \\ = (x+6)/(x-9) * ((x+6)^2)/(x+16) = \\ \\ = ((x+6)^3)/((x-9)(x+16))`