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 .

To write as a fraction with a common denominator, multiply by .

Multiply and .

Multiply and .

Reorder the factors of .

Combine the numerators over the common denominator.

Apply the distributive property.

Multiply by .

Move to the left of .

Apply the distributive property.

Multiply by .

Subtract from .

Reorder the factors of .

Combine the numerators over the common denominator.

Add and .

Combine x/(x-3)-3/(x+4)+7/(x^2+x-12)