# Simplify ((10^2+42b+36)/(6b^2-2b-60))÷((40b+48)/(3b^2-13b+10)) To divide by a fraction, multiply by its reciprocal.
Simplify the numerator.
Let . Substitute for all occurrences of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Replace all occurrences of with .
Simplify the denominator.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor by grouping.
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
Factor out of .
Rewrite as plus
Apply the distributive property.
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
Factor out the greatest common factor (GCF) from each group.
Factor the polynomial by factoring out the greatest common factor, .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Factor by grouping.
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
Factor out of .
Rewrite as plus
Apply the distributive property.
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
Factor out the greatest common factor (GCF) from each group.
Factor the polynomial by factoring out the greatest common factor, .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Cancel the common factor of .
Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply and .
Move to the left of .
Simplify ((10^2+42b+36)/(6b^2-2b-60))÷((40b+48)/(3b^2-13b+10))

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