To divide by a fraction, multiply by its reciprocal.

Factor out of .

Factor out of .

Factor out of .

Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .

Write the factored form using these integers.

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply and .

Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .

Write the factored form using these integers.

Cancel the common factor.

Rewrite the expression.

Simplify ((4y-12)/(y^2+y-2))÷((y-3)/(y^2+3y+2))