Simplify 2(x+h)^3

Problem

2*(x+h)3

Solution

1. Expand the binomial (x+h)3 using the binomial theorem or the pattern for a perfect cube.

(x+h)3=x3+3*x2*h+3*x*h2+h3

2. Distribute the constant factor 2 to every term inside the resulting polynomial.

2*(x3+3*x2*h+3*x*h2+h3)

3. Multiply each term by 2 to find the final simplified form.

2*x3+6*x2*h+6*x*h2+2*h3

Final Answer

2*(x+h)3=2*x3+6*x2*h+6*x*h2+2*h3

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