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\frac{x+4}{x}\times \frac{x\left(x+2\right)}{x+4}
Cancel out x+5 in both numerator and denominator.
\frac{x+4}{x}\times \frac{x^{2}+2x}{x+4}
Use the distributive property to multiply x by x+2.
\frac{\left(x+4\right)\left(x^{2}+2x\right)}{x\left(x+4\right)}
Multiply \frac{x+4}{x} times \frac{x^{2}+2x}{x+4} by multiplying numerator times numerator and denominator times denominator.
\frac{x^{2}+2x}{x}
Cancel out x+4 in both numerator and denominator.
\frac{x\left(x+2\right)}{x}
Factor the expressions that are not already factored.
x+2
Cancel out x in both numerator and denominator.
\frac{x+4}{x}\times \frac{x\left(x+2\right)}{x+4}
Cancel out x+5 in both numerator and denominator.
\frac{x+4}{x}\times \frac{x^{2}+2x}{x+4}
Use the distributive property to multiply x by x+2.
\frac{\left(x+4\right)\left(x^{2}+2x\right)}{x\left(x+4\right)}
Multiply \frac{x+4}{x} times \frac{x^{2}+2x}{x+4} by multiplying numerator times numerator and denominator times denominator.
\frac{x^{2}+2x}{x}
Cancel out x+4 in both numerator and denominator.
\frac{x\left(x+2\right)}{x}
Factor the expressions that are not already factored.
x+2
Cancel out x in both numerator and denominator.