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

Reorder terms.

Reorder and .

Factor out of .

Rewrite as plus

Apply the distributive property.

Move parentheses.

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, .

Factor by grouping.

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

Reorder terms.

Reorder and .

Factor out of .

Rewrite as plus

Apply the distributive property.

Move parentheses.

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, .

Rewrite as .

Cancel the common factor.

Rewrite the expression.

Reduce (6x^2-7xy-3y^2)/(2x^2-5xy+3y^2)