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

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.
Simplify with factoring out.
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 .
Simplify terms.
Multiply and .
Combine the numerators over the common denominator.
Simplify the numerator.
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)

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