Simplify ((6^2+7a-3)/(2a^2-a-6))÷((a+5)/(a-2))

Math
To divide by a fraction, multiply by its reciprocal.
Simplify the numerator.
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Raise to the power of .
Subtract from .
Factor by grouping.
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For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
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Factor out of .
Rewrite as plus
Apply the distributive property.
Factor out the greatest common factor from each group.
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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 .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply and .
Simplify ((6^2+7a-3)/(2a^2-a-6))÷((a+5)/(a-2))
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