If x - y3 - x-y3 - 6 y x2 - y2 - - ky2 - then k - 2148

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Algebraic Identities

If x + y3 - x...

Question

If $(x + y)^{3} - (x - y)^{3} - 6 y (x^{2} - y^{2}) = k y^{2}$ , then k =

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Prove that (x+y)³ - (x-y)³ - 6y(x² - y² ) = 8y³

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[\frac{x^{3} + y^{3}}{(x - y)^{2} + 3 x y}] + [\frac{(x + y)^{2} - 3 x y}{x^{3} - y^{3}}] \times \frac{x y}{x^{2} - y^{2}}

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