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

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

4. Expand the terms to get x3+3*(x2)*(1)+3*(x)*(1)+1

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

Final Answer

(x+1)3=x3+3*x2+3*x+1

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