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=a3+3*a2*b+3*a*b2+b3

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

4. Expand the terms: x3+3*(x2)*(2)+3*(x)*(2)+2

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

6. Calculate the final coefficients: x3+6*x2+12*x+8

Final Answer

(x+2)3=x3+6*x2+12*x+8

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