To divide by a fraction, multiply by its reciprocal.

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.

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.

Multiply and .

Factor out of .

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Move to the left of .

Divide ((x^2+3x+2)/(x^2-4x+3))÷((x+1)/(4x-12))