Factor using the AC method.

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 .

Cancel the common factor.

Rewrite the expression.

Factor using the AC method.

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 .

Multiply and .

Combine the numerators over the common denominator.

Add and .

Add and .

Simplify (m-2)/(m^2-7m+10)+(m+2)/(m^2-4m-5)