# CBSE Class 9 Answered

**solve please**

Asked by iamsimanta123 | 09 Jun, 2022, 07:30: AM

Expert Answer

(x + y + z) [ (x - y)^{2} + (y - z)^{2} + (z - x)^{2}]

(x + y + z) (x^{2} + y^{2} - 2xy + y^{2} + z^{2} - 2yz + z^{2} + x^{2} - 2xz)

= (x + y + z) (2x^{2} + 2y^{2} + 2z^{2} - 2xy - 2yz - 2xz)

= 2 (x + y + z) (x^{2} + y^{2} + z^{2} - xy - yz - xz)

= (x + y + z) (x^{2} + y^{2} + z^{2} - xy - yz - xz)

= x^{3} + y^{3} + z^{3} - 3xyz = LHS.

Answered by Renu Varma | 10 Jun, 2022, 11:06: AM

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