If x- 2a-1 - 2a-1 - 2a-1 - 2a-1 - show that x3-6x2-3x-2a-0

If a/b = c/d⇒a+b/a b = c+d/c b (comporede Dividendo)Hence, x+1/x 1 = 2(2a+1)^1/3/2(2a 1)^1/3 Cubic both sides #160; (x+1/x 1)^3 = 2a+1/2a 1 ...

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Formation of Algebraic Expressions

If x=√ 2a+1...

Question

If $x = \frac{\sqrt[3]{2 a + 1} + \sqrt[3]{2 a - 1}}{\sqrt[3]{2 a + 1} - \sqrt[3]{2 a - 1}}$ , show that $x^{3} - 6 x^{2} + 3 x - 2 a = 0$

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x = \frac{\sqrt{2 a + 1} + \sqrt{2 a - 1}}{\sqrt{2 a + 1} - \sqrt{2 a - 1}}

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A

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A^{3} + 3 A^{2} - 2 A = 0

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