Simplify (x-1)^3

Problem

(x−1)^3

Solution

1. Identify the expression as a binomial cube of the form (a−b)^3

2. Apply the formula for the cube of a binomial, which is (a−b)^3=a^3−3*a^2*b+3*a*b^2−b^3

3. Substitute a=x and b=1 into the formula.

4. Expand the terms: x^3−3*(x^2)*(1)+3*(x)*(1^2)−1^3

5. Simplify each term to reach the final polynomial form.

Final Answer

(x−1)^3=x^3−3*x^2+3*x−1

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