Multiply (x+h)^4

Problem

(x+h)4

Solution

1. Identify the binomial expansion formula for a power of 4 using Pascal's Triangle or the Binomial Theorem.

2. Apply the formula (a+b)4=a4+4*a3*b+6*a2*b2+4*a*b3+b4 where a=x and b=h

3. Substitute the variables into the expansion.

4. Simplify the terms to reach the final polynomial form.

Final Answer

(x+h)4=x4+4*x3*h+6*x2*h2+4*x*h3+h4

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