If a + b + c = 0; we have : a 3 + b 3 + c 3 = 3abc. Since, (x 2 - y 2 ) + (y 2 - z 2 ) + (z 2 - x 2 ) = 0. ∴ .........(1) Also, (x - y) + (y - z) + (z - x) = 0 ∴ ..............(2) Dividing equation (1) by (2), we get : Hence, = (x + y)(y + z)(z + x).

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Using suitable identity, evaluate :
(i) (104)³
(ii) (97)³

If a - 2b + 3c = 0; state the value of a³ - 8b³ + 27c³.

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Simplify :

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Related Questions

Using suitable identity, evaluate :(i) (104)3(ii) (97)3

If a - 2b + 3c = 0; state the value of a3 - 8b3 + 27c3.

Using suitable identity, evaluate :
(i) (104)³
(ii) (97)³

If a - 2b + 3c = 0; state the value of a³ - 8b³ + 27c³.