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a 3 - b 3 = (a-b) (a-wb) (a-x 2 b); a 3 + b 3 = (a+b) (a+wb) (a+x 2 b); a 2 +ab+b 2 = (a-bw)(a-bw 2 ) a 3 + b 3 + c 3 - 3abc = (a+b+c) (a+wb+w 2 c) (a+w 2 b+wc); Sir, can you give me an insight into its derivation!

 

a3 - b3= (a-b) (a-wb) (a-x2b);

      a3 + b3= (a+b) (a+wb) (a+x2b);

        a2 +ab+b= (a-bw)(a-bw2)

        a3 + b+ c3 - 3abc = (a+b+c) (a+wb+w2c) (a+w2b+wc);

Sir, can you give me an insight into its derivation!

 

Grade:11

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
Dear student

What is w and x in these expressions

Please attach an image of the question and repost

Regards

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