Question 193271
{{{(x(x+1)^2(x-5))/(x(x+2)(x-5)^3)}}} Start with the given expression.



{{{(x(x+1)^2(x-5))/(x(x+2)(x-5)(x-5)^2)}}} Factor {{{(x-5)^3}}} to get {{{(x-5)(x-5)^2}}}



{{{(highlight(x)(x+1)^2*highlight((x-5)))/(highlight(x)(x+2)highlight((x-5))(x-5)^2)}}} Highlight the common terms.



{{{(cross(x)(x+1)^2*cross((x-5)))/(cross(x)(x+2)cross((x-5))(x-5)^2)}}} Cancel out the common terms.



{{{((x+1)^2)/((x+2)(x-5)^2)}}} Simplify



So {{{(x(x+1)^2(x-5))/(x(x+2)(x-5)^3)=((x+1)^2)/((x+2)(x-5)^2)}}} where {{{x<>-2}}}, {{{x<>0}}}, or {{{x<>5}}}