Answer
$(x-1)^3=x^3-3x^2+3x-1$.
Work Step by Step
The given expression is
$(x-1)^3$
The formula for the cube of an algebraic expression is
$(a-b)^3=a^3-b^3-3a^2b+3ab^2$
Plug $a=x$ and $b=1$ into the formula.
$(x-1)^3=x^3-1^3-3(x)^2(1)+3(x)(1)^2$
Clear the parentheses.
$(x-1)^3=x^3-1-3x^2+3x$
Simplify.
$(x-1)^3=x^3-3x^2+3x-1$.
