Cancel the Common Factors ((x-2)(x+4))/(x^2+2x-8)

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 ${\displaystyle -8}$ and whose sum is ${\displaystyle 2}$.

Write the factored form using these integers.

Cancel the common factor.

Rewrite the expression.

Reduce the expression ${\displaystyle \frac{x+4}{x+4}}$ by cancelling the common factors.

Rewrite the expression.