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Degree of the polynomial ${(x^{2} - \sqrt{1 - x^{3}})}^{4} + {(x^{2} + \sqrt{1 - x^{3}})}^{4}$ , is

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Correct option is B

We have (x−y)4+(x+y)4=2 4C0x4+4C2x2y2+4C4y4Thus, x2−1−x34+x2+1−x34=2 4C0x24+4C2x221−x3+4C41−x32which is a polynomial of degree 8.

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Degree of the polynomial x2−1−x34+x2+1−x34, is

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Degree of the polynomial ${(x^{2} - \sqrt{1 - x^{3}})}^{4} + {(x^{2} + \sqrt{1 - x^{3}})}^{4}$ , is