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\frac{x+3}{8}\times \frac{4\left(x+8\right)}{4\left(x+3\right)}
Factor the expressions that are not already factored in \frac{4x+32}{4x+12}.
\frac{x+3}{8}\times \frac{x+8}{x+3}
Cancel out 4 in both numerator and denominator.
\frac{\left(x+3\right)\left(x+8\right)}{8\left(x+3\right)}
Multiply \frac{x+3}{8} times \frac{x+8}{x+3} by multiplying numerator times numerator and denominator times denominator.
\frac{x+8}{8}
Cancel out x+3 in both numerator and denominator.
\frac{x+3}{8}\times \frac{4\left(x+8\right)}{4\left(x+3\right)}
Factor the expressions that are not already factored in \frac{4x+32}{4x+12}.
\frac{x+3}{8}\times \frac{x+8}{x+3}
Cancel out 4 in both numerator and denominator.
\frac{\left(x+3\right)\left(x+8\right)}{8\left(x+3\right)}
Multiply \frac{x+3}{8} times \frac{x+8}{x+3} by multiplying numerator times numerator and denominator times denominator.
\frac{x+8}{8}
Cancel out x+3 in both numerator and denominator.