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Factorise:- (p-q)3 + (q-r)3 + (r-p)3

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Factorise:- (p-q)3 + (q-r)3 + (r-p)3

    • Posted by Vanshika Arora 4 years, 8 months ago

    CBSE > Class 09 > Mathematics
    • 2 answers

    Dj Jd 4 years, 8 months ago

    3(p-q) (q-r) (r-p)

    0Thank You

    Aarti Anand 4 years, 8 months ago

    Taking (p-q) as a, (q-r) as b, and (r-p) as c, we have a+ b+c = p-q+q-r+r-p = 0. Also we know when a+b+c = 0 then a^3 + b^3 + c^3 = 3 abc. So, (p-q)^3+(q-r)^3+(r-p)^3 = 3 (p-q) (q-r) (r-p)

    2Thank You

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