Perform the indicated operation
(w^2-1)/(w-1) x (w^2+2w+1)
(w^2 + 2w + 1) = (w + 1)^2
(w^2 - 1) = (w - 1)(w + 1)
Therefore, (w^2 - 1) / (w - 1) = (w - 1)(w + 1) / (w-1) = (w + 1)
Multiply (w + 1) by (w + 1)^2
(w + 1)(w + 1)^2
= (w + 1)^3
(w^2-1)/(w-1) x (w^2+2w+1)
(w^2 - 1) = (w - 1)(w + 1)
Therefore, (w^2 - 1) / (w - 1) = (w - 1)(w + 1) / (w-1) = (w + 1)
Multiply (w + 1) by (w + 1)^2
(w + 1)(w + 1)^2
= (w + 1)^3