Simplify (x-3)^3

Problem

(x−3)^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=3 into the formula.

4. Expand the terms to get x^3−3*(x^2)*(3)+3*(x)*(3^2)−3^3

5. Simplify each term by performing the multiplication and exponentiation.

6. Calculate the final coefficients to get x^3−9*x^2+27*x−27

Final Answer

(x−3)^3=x^3−9*x^2+27*x−27

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