Combine the numerators over the common denominator.

Apply the distributive property.

Multiply by .

Multiply by .

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.

Cancel the common factor.

Divide by .

Simplify (w^2)/(w-7)-(16w-63)/(w-7)