Question 268664
here is the problem:
{{{(w-3)/ (w-8) - (w+1)/(w+8) + (w-88)/(w^2-64)}}}
step 1 - find a common denominator as w^2-64 or (w+8)(w-8).
step 2 - change the numerators to get
{{{((w-3)(w+8)- (w+1)(w-8) + (w-88))/(w^2-64)}}}
step 3 - expand the numerator to get
{{{(w^2 + 5w - 24 - w^2 + 7w + 8 + w - 88)/((w+8)(w-8))}}}
step 4 combine like terms to get
{{{(13w - 104)/((w+8)(w-8))}}}
step 5 - factor numerator and get
{{{13(w-8)/((w+8)(w-8))}}}
step 6 - cancel w-8 to get
{{{13/(w+8)}}}