factorise completely (a-b)^3+(a-b)^2​

Question

factorise completely
(a-b)^3+(a-b)^2​

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Reagan 1 month 2021-09-14T22:24:21+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-14T22:25:50+00:00

    Take (a-b)^2 common from the given expression.

    (a-b)^3 + (a-b)^2 = (a-b)^2{a-b+1}

    = (a-b)(a-b)(a-b+1)

    0
    2021-09-14T22:26:02+00:00

    Answer:

    a^3-3a^2b-3ab^2+b^3+a^+2ab+b^2

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