Solve a^2+12a+32/a^2+9a-10*a^2+4a-5/a^2+16a+64

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Polynomial

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\frac{\left(a^{2}+12a+32\right)\left(a^{2}+4a-5\right)}{\left(a^{2}+9a-10\right)\left(a^{2}+16a+64\right)}

Multiply \frac{a^{2}+12a+32}{a^{2}+9a-10} times \frac{a^{2}+4a-5}{a^{2}+16a+64} by multiplying numerator times numerator and denominator times denominator.

\frac{\left(a-1\right)\left(a+4\right)\left(a+5\right)\left(a+8\right)}{\left(a-1\right)\left(a+10\right)\left(a+8\right)^{2}}

Factor the expressions that are not already factored.

\frac{\left(a+4\right)\left(a+5\right)}{\left(a+8\right)\left(a+10\right)}

Cancel out \left(a-1\right)\left(a+8\right) in both numerator and denominator.

\frac{a^{2}+9a+20}{a^{2}+18a+80}

Expand the expression.