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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 5 years, 4 months ago

CBSE > Class 09 > Mathematics

1 answers

Gaurav Seth 5 years, 4 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

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