# Divide ((t+3)/(t+4))÷(t^2+7t+12)

Rewrite the division as a fraction.
Multiply the numerator by the reciprocal of the denominator.
Factor using the AC method.
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 .
Cancel the common factor.
Rewrite the expression.
Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.