Simplify (x+2)^3

Problem

(x+2)^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=x and b=2 into the expansion formula.

4. Expand the terms: x^3+3*(x^2)*(2)+3*(x)*(2^2)+2^3

5. Simplify each term by performing the multiplication and exponentiation.

6. Calculate the final coefficients: x^3+6*x^2+12*x+8

Final Answer

(x+2)^3=x^3+6*x^2+12*x+8

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