Simplify (x^2-3x-4)/(x^2+4x+3)*(x^2+8x+15)/(x-4)

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 ${\displaystyle -4}$ and whose sum is ${\displaystyle -3}$.

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 ${\displaystyle 3}$ 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 ${\displaystyle 15}$ and whose sum is ${\displaystyle 8}$.

Write the factored form using these integers.

Cancel the common factor of ${\displaystyle x-4}$.

Cancel the common factor of ${\displaystyle x+3}$.

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

Multiply ${\displaystyle x+5}$ by ${\displaystyle 1}$.