Match the value of the expression $x^{99} + x^{100} + x$ for the given values of $x$ .

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Solution

Let us calculate the value of the expression $x^{99} + x^{100} + x$ for given values of $x$ :

For $x = 1$ ,
$x^{99} + x^{100} + x = 1^{99} + 1^{100} + 1 = 1 + 1 + 1 = 3$

For $x = - 1$ ,
$x^{99} + x^{100} + x = (- 1)^{99} + (- 1)^{100} + (- 1) = - 1 + 1 + (- 1) = - 1$

For $x = 0$ ,
$x^{99} + x^{100} + x = 0^{99} + 0^{100} + 0 = 0 + 0 + 0 = 0$

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