The expression
`[x+(x^(3)-1)^((1)/(2))]^(5)+[x-(x^(3)-1)^((1)/(2))]^(5)` is a polynomial of degree

Answer

7

Explanation

let `(x^(3)-1)^((1)/(2))=tbecause(x+t)^(5)+(x-t)^(5)` where `x^(3)-1=t^(2)`
expansion is `x^(5)` term Replacing term t by `x^(3)-1` in the expansion and simplification we get the polynomial as power 7.