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\frac{4}{x-20}\times \frac{x\left(x^{4}+5x^{3}+10x^{2}+10x+5\right)}{x}
Factor the expressions that are not already factored in \frac{\left(x+1\right)^{5}-1}{x}.
\frac{4}{x-20}\left(x^{4}+5x^{3}+10x^{2}+10x+5\right)
Cancel out x in both numerator and denominator.
\frac{4\left(x^{4}+5x^{3}+10x^{2}+10x+5\right)}{x-20}
Express \frac{4}{x-20}\left(x^{4}+5x^{3}+10x^{2}+10x+5\right) as a single fraction.
\frac{4x^{4}+20x^{3}+40x^{2}+40x+20}{x-20}
Use the distributive property to multiply 4 by x^{4}+5x^{3}+10x^{2}+10x+5.
\frac{4}{x-20}\times \frac{x\left(x^{4}+5x^{3}+10x^{2}+10x+5\right)}{x}
Factor the expressions that are not already factored in \frac{\left(x+1\right)^{5}-1}{x}.
\frac{4}{x-20}\left(x^{4}+5x^{3}+10x^{2}+10x+5\right)
Cancel out x in both numerator and denominator.
\frac{4\left(x^{4}+5x^{3}+10x^{2}+10x+5\right)}{x-20}
Express \frac{4}{x-20}\left(x^{4}+5x^{3}+10x^{2}+10x+5\right) as a single fraction.
\frac{4x^{4}+20x^{3}+40x^{2}+40x+20}{x-20}
Use the distributive property to multiply 4 by x^{4}+5x^{3}+10x^{2}+10x+5.