Simplify 6/(a^2+8a+15)+-12/(a^2+6a+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.
Move the negative in front of the fraction.
To write as a fraction with a common denominator, multiply by .
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 .
Multiply and .
Reorder the factors of .
Reorder the factors of .
Combine the numerators over the common denominator.
Simplify the numerator.
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Factor out of .
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Factor out of .
Factor out of .
Apply the distributive property.
Multiply by .
Subtract from .
Subtract from .
Reduce the expression by cancelling the common factors.
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Cancel the common factor of and .
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Factor out of .
Rewrite as .
Factor out of .
Rewrite as .
Cancel the common factor.
Rewrite the expression.
Simplify the expression.
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Multiply by .
Move the negative in front of the fraction.
Simplify 6/(a^2+8a+15)+-12/(a^2+6a+5)

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