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\frac{\left(x^{2}+9x+20\right)x^{3}}{x^{2}\left(x+4\right)}
Multiply \frac{x^{2}+9x+20}{x^{2}} times \frac{x^{3}}{x+4} by multiplying numerator times numerator and denominator times denominator.
\frac{x\left(x^{2}+9x+20\right)}{x+4}
Cancel out x^{2} in both numerator and denominator.
\frac{x\left(x+4\right)\left(x+5\right)}{x+4}
Factor the expressions that are not already factored.
x\left(x+5\right)
Cancel out x+4 in both numerator and denominator.
x^{2}+5x
Expand the expression.
\frac{\left(x^{2}+9x+20\right)x^{3}}{x^{2}\left(x+4\right)}
Multiply \frac{x^{2}+9x+20}{x^{2}} times \frac{x^{3}}{x+4} by multiplying numerator times numerator and denominator times denominator.
\frac{x\left(x^{2}+9x+20\right)}{x+4}
Cancel out x^{2} in both numerator and denominator.
\frac{x\left(x+4\right)\left(x+5\right)}{x+4}
Factor the expressions that are not already factored.
x\left(x+5\right)
Cancel out x+4 in both numerator and denominator.
x^{2}+5x
Expand the expression.