Math, asked by Otakulearner, 10 months ago

(a-b)³+(b-c)³+(c-a)³ factorise it. ( using suitable identity / property)​

Answers

Answered by Anonymous
5

Answer:

 = (a - b) {}^{3} + (b - c) {}^{3}   + (c - a) {}^{3}  \\ \\   =  {a}^{3}  -  {b}^{3}  - 3a {}^{2} b + 3ab {}^{2}  +  {b}^{3}  -  \\ c {}^{3}  - 3b {}^{2} c + 3bc {}^{2}  +  {c}^{3}  - {a}^{3}  -  \\ 3c {}^{2} a + 3ca {}^{2}  \\  \\  =  - 3a {}^{2} b + 3ab {}^{2}  - 3b {}^{2} c + 3bc {}^{2}  - 3c {}^{2} a + 3ca {}^{2}

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Answered by dakshsainiSpiderman
1

Answer:

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