Simplify a/(a^2-2a-63)-8/(a+7)

Math
Factor using the AC method.
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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.
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Multiply and .
Reorder the factors of .
Combine the numerators over the common denominator.
Simplify the numerator.
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Apply the distributive property.
Multiply by .
Subtract from .
Simplify with factoring out.
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Factor out of .
Rewrite as .
Factor out of .
Simplify the expression.
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Rewrite as .
Move the negative in front of the fraction.
Simplify a/(a^2-2a-63)-8/(a+7)

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