Simplify (m-2)/(m^2-7m+10)+(m+2)/(m^2-4m-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.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
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 .
Simplify terms.
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Multiply and .
Combine the numerators over the common denominator.
Simplify the numerator.
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Add and .
Add and .
Simplify (m-2)/(m^2-7m+10)+(m+2)/(m^2-4m-5)
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