Simplify (x+1)^3

Problem

(x+1)^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, which is (a+b)^3=a^3+3*a^2*b+3*a*b^2+b^3

3. Substitute a=x and b=1 into the expansion formula.

4. Expand the terms to get x^3+3*(x^2)*(1)+3*(x)*(1^2)+1^3

5. Simplify each term to reach the final polynomial form.

Final Answer

(x+1)^3=x^3+3*x^2+3*x+1

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