Multiply (x-h)^3

Problem

(x−h)^3

Solution

1. Identify the expression as a cube of a binomial, which follows the general expansion formula (a−b)^3=a^3−3*a^2*b+3*a*b^2−b^3

2. Substitute a=x and b=h into the expansion formula.

3. Expand the first part of the expression to get x^3

4. Calculate the middle terms by multiplying the coefficients and variables to get −3*x^2*h and 3*x*h^2

5. Expand the final term to get −h^3

6. Combine all terms into a single polynomial expression.

Final Answer

(x−h)^3=x^3−3*x^2*h+3*x*h^2−h^3

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