Simplify (x+8)^3

Problem

(x+8)3

Solution

1. Identify the expression as a binomial cube of the form (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=8 into the formula.

4. Expand the terms by performing the multiplication and exponentiation.

x3+3*(x2)*(8)+3*(x)*(8)+8

5. Simplify each term to find the final polynomial.

x3+24*x2+3*(x)*(64)+512

x3+24*x2+192*x+512

Final Answer

(x+8)3=x3+24*x2+192*x+512

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