algebra

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Perform the indicated operation
(w^2-1)/(w-1) x (w^2+2w+1)

  • algebra -

    (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

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