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\frac{8x\left(x+2\right)}{x^{2}+10x+16}
Express \frac{8x}{x^{2}+10x+16}\left(x+2\right) as a single fraction.
\frac{8x\left(x+2\right)}{\left(x+2\right)\left(x+8\right)}
Factor the expressions that are not already factored.
\frac{8x}{x+8}
Cancel out x+2 in both numerator and denominator.
\frac{8x\left(x+2\right)}{x^{2}+10x+16}
Express \frac{8x}{x^{2}+10x+16}\left(x+2\right) as a single fraction.
\frac{8x\left(x+2\right)}{\left(x+2\right)\left(x+8\right)}
Factor the expressions that are not already factored.
\frac{8x}{x+8}
Cancel out x+2 in both numerator and denominator.