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Factorise (2a-b-c)^3 +(2b-c-a)^3 + (2c-a-b)^3

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Factorise (2a-b-c)^3 +(2b-c-a)^3 + (2c-a-b)^3

    • Posted by Sahil Rana 4 years, 2 months ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Gaurav Seth 4 years, 2 months ago

    A n s w e r :

    3 (2a-b-c) (2b-c-a) (2c-a-b)

    Step - by - step explanation :

    We know that, if x+y+z=0; then x 3+y 3+z 3=3 x y z

    (2a-b-c)+(2b-c-a)+(2c-a-b)=0

    ∴ (2a-b-c)3+(2b-c-a)3+(2c-a-b)3= 3(2a-b-c)(2b-c-a)(2c-a-b)

    1Thank You

    ANSWER
    http://mycbseguide.com/examin8/

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