Expand the Trigonometric Expression (x+y)^3

Problem

(x+y)^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 variables x and y into the formula where a=x and b=y

3. Write the expanded terms by applying the powers and coefficients from the binomial theorem.

4. Simplify the expression to its final polynomial form.

Final Answer

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

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