Expand the Trigonometric Expression (x+2)^3

Problem

(x+2)^3

Solution

1. Identify the binomial expansion formula for a cube, which is (a+b)^3=a^3+3*a^2*b+3*a*b^2+b^3

2. Substitute the values a=x and b=2 into the formula.

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

3. Simplify the terms by performing the multiplication and exponentiation.

x^3+6*x^2+3*(x)*(4)+8

4. Combine all terms into the final polynomial form.

x^3+6*x^2+12*x+8

Final Answer

(x+2)^3=x^3+6*x^2+12*x+8

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