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The expression ${(x + \sqrt{x^{3} - 1})}^{6} + {(x - \sqrt{x^{3} - 1})}^{6}$ is a polynomial of degree

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detailed solution

Correct option is C

Use (x+a)6+(x−a)6 =2x6+6C2x4a2+6C4x2a4+6C6a6putting a=x3−1, we find it to be a polynomial of 9.

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The expression x+x3−16+x−x3−16 is a polynomial of degree

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The expression ${(x + \sqrt{x^{3} - 1})}^{6} + {(x - \sqrt{x^{3} - 1})}^{6}$ is a polynomial of degree