Answer
$ x^3+3x^2+3x+1$
Work Step by Step
We cube (expand) the binomial as follows:
$$
(x+1)^3=(x+1)(x+1)(x+1)=(x)^3+3(x)(1)^2+3(1)(x)^2+(1)^3\\
= x^3+3x^2+3x+1
.$$
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