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.

Rewrite as .

Factor out of .

Factor out of .

Simplify the expression.

Move a negative from the denominator of to the numerator.

Reorder terms.

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

Multiply and .

Combine the numerators over the common denominator.

Multiply by .

Apply the distributive property.

Multiply by .

Subtract from .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Simplify (4w)/(w^2+2w-3)+2/(1-w)