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\frac{x^{2}\left(x+14\right)}{\left(x^{2}+8\right)x}
Multiply \frac{x^{2}}{x^{2}+8} times \frac{x+14}{x} by multiplying numerator times numerator and denominator times denominator.
\frac{x\left(x+14\right)}{x^{2}+8}
Cancel out x in both numerator and denominator.
\frac{x^{2}+14x}{x^{2}+8}
Use the distributive property to multiply x by x+14.
\frac{x^{2}\left(x+14\right)}{\left(x^{2}+8\right)x}
Multiply \frac{x^{2}}{x^{2}+8} times \frac{x+14}{x} by multiplying numerator times numerator and denominator times denominator.
\frac{x\left(x+14\right)}{x^{2}+8}
Cancel out x in both numerator and denominator.
\frac{x^{2}+14x}{x^{2}+8}
Use the distributive property to multiply x by x+14.