For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .

Factor out of .

Rewrite as plus

Apply the distributive property.

Multiply by .

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

Factor out the greatest common factor (GCF) from each group.

Factor the polynomial by factoring out the greatest common factor, .

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

Multiply and .

Reorder the factors of .

Combine the numerators over the common denominator.

Apply the distributive property.

Multiply by .

Multiply by .

Subtract from .

Subtract from .

Cancel the common factor.

Rewrite the expression.

Subtract (3x-2)/(2x^2-5x-3)-1/(x-3)