Simplify (4y(y-3)(y+4))/(y(y^2-y-6))

Cancel the common factor.

Rewrite the expression.

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 ${\displaystyle -1}$.

Write the factored form using these integers.

Cancel the common factor.

Rewrite the expression.