1.

`(x^(1/3)+x^((-1)/3))(x^(2/3)-1+x^((-2)/x))` का मान क्या है?A. `x^(-1)+x^(2/3)`B. `x+x^(-1/3)`C. `x^(1/3)+x^(-1)`D. `x+x^(-1)`

Answer» Correct Answer - D
`(x^(1/3)+x^((-1)/3))(x^(2/3)+x^((-2)/3)-1)`
We know that
`(a^(3)+b^(3))=(a+b)(a^(2)+b^(2)-ab)`
`(x^(1/3xx3)+x^(1/x)xx3)`
`(x+x^(-1))`
Alternative
`(x^(1/3)+1/(x^(1/3)))(x^(2/3)-1 1/(x^(2/3)))`
`(x^(1/3)+1/(x^(1/3)))(x^(2/3)+1/(x^(2/3))-1)`
`x^(1/3) . x^(2/3)+x^(1/3) . 1/(x^(2/3))-x^(1/3)+x^(2/3)`
`1/(x^(/3))+1/(x^(2/3)x^(1/3))-1/(x^(1/3))`
`x+x^((-1)/3)-x^(1/3)+x^(1/3)+1/x-x^((-1)/3)`
`x+x^(-1)`


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