The expression
${[x + (x^{3} - 1)]}^{5}$ is a polynomial of degree

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Solution

$[x + (x^{3} - 1)]^{5}$
has highest power $15$
so degree $= 15$

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Similar questions

[x + (x^{3} - 1)^{1 / 2}]^{5} + [x - (x^{3} - 1)^{1 / 2}]^{5}

(x + (x^{3} - 1)^{\frac{1}{2}})^{5} + (x - (x^{3} - 1)^{\frac{1}{2}})^{5}

The expression ${[x + \sqrt{x^{3} - 1}]}^{5}$ +
${[x - \sqrt{x^{3} - 1}]}^{5}$ is a Polynomial of degree

[x + (x^{3} - 1)^{1 / 2}]^{5} + [x - (x^{3} - 1)^{1 / 2}]^{5}

P (x) = {(\sqrt{x^{5} - 1} + x)}^{7} - {(\sqrt{x^{5} - 1} - x)}^{7}

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