Simplify (4+h)^3

Problem

(4+h)^3

Solution

1. Identify the expression as a binomial raised to the third power, which follows the pattern (a+b)^3

2. Apply the formula for the cube of a binomial: (a+b)^3=a^3+3*a^2*b+3*a*b^2+b^3

3. Substitute a=4 and b=h into the expansion formula.

4. Calculate the numerical terms: 4^3=64 and 3*(4^2)=3*(16)=48

5. Simplify the expression by combining the results of the substitution.

Final Answer

(4+h)^3=64+48*h+12*h^2+h^3

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