Simplify (x^2-4x-5)/(x^2-5x-6)*(x^2-4x-12)/(x^2-3x-10)

Consider the form ${\displaystyle x^2+bx+c}$. Find a pair of integers whose product is ${\displaystyle c}$ and whose sum is ${\displaystyle b}$. In this case, whose product is ${\displaystyle -5}$ and whose sum is ${\displaystyle -4}$.

Write the factored form using these integers.

Consider the form ${\displaystyle x^2+bx+c}$. Find a pair of integers whose product is ${\displaystyle c}$ and whose sum is ${\displaystyle b}$. In this case, whose product is ${\displaystyle -6}$ and whose sum is ${\displaystyle -5}$.

Write the factored form using these integers.

Consider the form ${\displaystyle x^2+bx+c}$. Find a pair of integers whose product is ${\displaystyle c}$ and whose sum is ${\displaystyle b}$. In this case, whose product is ${\displaystyle -12}$ and whose sum is ${\displaystyle -4}$.

Write the factored form using these integers.

Consider the form ${\displaystyle x^2+bx+c}$. Find a pair of integers whose product is ${\displaystyle c}$ and whose sum is ${\displaystyle b}$. In this case, whose product is ${\displaystyle -10}$ and whose sum is ${\displaystyle -3}$.

Write the factored form using these integers.

Cancel the common factor of ${\displaystyle x-5}$.

Cancel the common factor of ${\displaystyle x-6}$.

Multiply ${\displaystyle \frac{x+1}{x+1}}$ by ${\displaystyle \frac{x+2}{x+2}}$.

Cancel the common factor of ${\displaystyle x+1}$.

Cancel the common factor of ${\displaystyle x+2}$.