A binomial squared (difference) is equal to the square of the first term, minus the double product of the first by the second, plus the square of the second term. In other words: $(a-b)^2=a^2-2ab+b^2$
$\left(x+1\right)^2\left(x^2-2x+1\right)$
Final answer to the problem
$\left(x+1\right)^2\left(x^2-2x+1\right)$
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The simplification of algebraic expressions consists in rewriting a long and complex expression in an equivalent, but much simpler expression. This simplification can be accomplished through the combined use of arithmetic and algebra rules.