Question 970927
{{{(((4x^2)+(20x))/((x^3)+(4x^2))) * (x^2 + 8x + 16)}}}


{{{(((4x^2)+(20x))/(x^3+4x^2)) * (x^2 + 8x + 16)}}}


{{{(4x^2+20x)/(x^3+4x^2)*(x^2+8x+16)}}}


{{{((4x^2+20x)(x^2+8x+16))/(x^3+4x^2)}}}


{{{(4x^4+20x^3+32x^3+160x^2+64x^2+320x)/(x^3+4x^2)}}}


{{{highlight((4x^4+52x^3+224x^2+320x)/(x^3+4x^2))}}}, this is probably the final form you want.


You could simplify by canceling {{{x/x}}}, but that changes the meaning of the expression.  You might also try polynomial division in case the denominator might be factor of the numerator, but again, that would give a quotient which is different from the rational form outlined in red.