Simplify (x+3)^3

Problem

(x+3)3

Solution

1. Identify the expression as a binomial cubed, which follows the expansion formula (a+b)3=a3+3*a2*b+3*a*b2+b3

2. Assign the values from the expression to the formula variables, where a=x and b=3

3. Substitute these values into the expansion formula:

(x)3+3*(x)2*(3)+3*(x)*(3)2+(3)3

4. Simplify each term by performing the indicated multiplication and exponentiation:

x3+9*x2+27*x+27

Final Answer

(x+3)3=x3+9*x2+27*x+27

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