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The expansion of ${(x + \sqrt{x^{3} - 1})}^{5} + {(x - \sqrt{x^{3} - 1})}^{5}$ is a polynomial of degree

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detailed solution

Correct option is C

Using (a+b)5+(a−b)5 =2a5+5C2a3b2+5C4ab4,we get x+x3−15+x−x3−15 =2x5+10x3x3−1+5xx3−12which is a polynomial of degree 7.

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The expansion of x+x3−15+x−x3−15is a polynomial of degree

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The expansion of ${(x + \sqrt{x^{3} - 1})}^{5} + {(x - \sqrt{x^{3} - 1})}^{5}$ is a polynomial of degree