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

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

x3+3*(x2)*(2)+3*(x)*(2)+2

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

x3+6*x2+3*(x)*(4)+8

4. Combine all terms into the final polynomial form.

x3+6*x2+12*x+8

Final Answer

(x+2)3=x3+6*x2+12*x+8

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