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=a3−3*a2*b+3*a*b2−b3

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

3. Expand the first part of the expression to get x3

4. Calculate the middle terms by multiplying the coefficients and variables to get −3*x2*h and 3*x*h2

5. Expand the final term to get −h3

6. Combine all terms into a single polynomial expression.

Final Answer

(x−h)3=x3−3*x2*h+3*x*h2−h3

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