Question : What is the value of $(x+1)\left(x^2-x+1\right)$ ?
Option 1: $x^3-1$
Option 2: ${x}^3+{x}$
Option 3: $x^3+1$
Option 4: ${x}^3-{x}$
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Correct Answer: $x^3+1$
Solution :
Given: $(x+1)\left(x^2-x+1\right)$
$= x^3 - x^2 + x + x^2 - x + 1$
$=x^3 + 1$
Hence, the correct answer is $x^3 + 1$.
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