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\frac{2\left(x-5\right)\left(x+5\right)}{x-5}\times \frac{x+4}{x^{4}+9x^{3}+20x^{2}}
Factor the expressions that are not already factored in \frac{2x^{2}-50}{x-5}.
2\left(x+5\right)\times \frac{x+4}{x^{4}+9x^{3}+20x^{2}}
Cancel out x-5 in both numerator and denominator.
\left(2x+10\right)\times \frac{x+4}{x^{4}+9x^{3}+20x^{2}}
Expand the expression.
\left(2x+10\right)\times \frac{x+4}{\left(x+4\right)\left(x+5\right)x^{2}}
Factor the expressions that are not already factored in \frac{x+4}{x^{4}+9x^{3}+20x^{2}}.
\left(2x+10\right)\times \frac{1}{\left(x+5\right)x^{2}}
Cancel out x+4 in both numerator and denominator.
\frac{2x+10}{\left(x+5\right)x^{2}}
Express \left(2x+10\right)\times \frac{1}{\left(x+5\right)x^{2}} as a single fraction.
\frac{2\left(x+5\right)}{\left(x+5\right)x^{2}}
Factor the expressions that are not already factored.
\frac{2}{x^{2}}
Cancel out x+5 in both numerator and denominator.
\frac{2\left(x-5\right)\left(x+5\right)}{x-5}\times \frac{x+4}{x^{4}+9x^{3}+20x^{2}}
Factor the expressions that are not already factored in \frac{2x^{2}-50}{x-5}.
2\left(x+5\right)\times \frac{x+4}{x^{4}+9x^{3}+20x^{2}}
Cancel out x-5 in both numerator and denominator.
\left(2x+10\right)\times \frac{x+4}{x^{4}+9x^{3}+20x^{2}}
Expand the expression.
\left(2x+10\right)\times \frac{x+4}{\left(x+4\right)\left(x+5\right)x^{2}}
Factor the expressions that are not already factored in \frac{x+4}{x^{4}+9x^{3}+20x^{2}}.
\left(2x+10\right)\times \frac{1}{\left(x+5\right)x^{2}}
Cancel out x+4 in both numerator and denominator.
\frac{2x+10}{\left(x+5\right)x^{2}}
Express \left(2x+10\right)\times \frac{1}{\left(x+5\right)x^{2}} as a single fraction.
\frac{2\left(x+5\right)}{\left(x+5\right)x^{2}}
Factor the expressions that are not already factored.
\frac{2}{x^{2}}
Cancel out x+5 in both numerator and denominator.