Simplify (w^2+2w-24)/(w^2+w-30)+8/(w-5)

Math
Simplify each term.
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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.
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.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Combine into one fraction.
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Combine the numerators over the common denominator.
Add and .
Simplify (w^2+2w-24)/(w^2+w-30)+8/(w-5)

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