Divide $\frac{a^{2}+4a+3}{x^{2}+2x-8}$ by $\frac{a^{2}-2a-15}{x^{2}-5x+6}$ by multiplying $\frac{a^{2}+4a+3}{x^{2}+2x-8}$ by the reciprocal of $\frac{a^{2}-2a-15}{x^{2}-5x+6}$.
Factor the expressions that are not already factored in $\frac{\left(a^{2}+4a+3\right)\left(x^{2}-5x+6\right)}{\left(x^{2}+2x-8\right)\left(a^{2}-2a-15\right)}$.
Multiply $\frac{x^{2}-16}{a^{2}-1}$ times $\frac{\left(x-3\right)\left(a+1\right)}{\left(a-5\right)\left(x+4\right)}$ by multiplying numerator times numerator and denominator times denominator.
Divide $\frac{a^{2}+4a+3}{x^{2}+2x-8}$ by $\frac{a^{2}-2a-15}{x^{2}-5x+6}$ by multiplying $\frac{a^{2}+4a+3}{x^{2}+2x-8}$ by the reciprocal of $\frac{a^{2}-2a-15}{x^{2}-5x+6}$.
Factor the expressions that are not already factored in $\frac{\left(a^{2}+4a+3\right)\left(x^{2}-5x+6\right)}{\left(x^{2}+2x-8\right)\left(a^{2}-2a-15\right)}$.
Multiply $\frac{x^{2}-16}{a^{2}-1}$ times $\frac{\left(x-3\right)\left(a+1\right)}{\left(a-5\right)\left(x+4\right)}$ by multiplying numerator times numerator and denominator times denominator.
