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=a3−3*a2*b+3*a*b2−b3

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

4. Expand the terms to get x3−3*(x2)*(3)+3*(x)*(3)−3

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

6. Calculate the final coefficients to get x3−9*x2+27*x−27

Final Answer

(x−3)3=x3−9*x2+27*x−27

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