# Simplify ((6u+72)/(2u+24))÷((u^2+21u+108)/(u^2+20u+96))

Simplify ((6u+72)/(2u+24))÷((u^2+21u+108)/(u^2+20u+96))
To divide by a fraction, multiply by its reciprocal.
Simplify terms.
Cancel the common factor of and .
Factor out of .
Factor out of .
Factor out of .
Cancel the common factors.
Factor out of .
Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Cancel the common factor of .
Cancel the common factor.
Divide by .
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.
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.
Simplify terms.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Combine and .
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