Expand the Trigonometric Expression (x+1)^2

Problem

(x+1)^2

Solution

1. Identify the expression as a square of a binomial in the form (a+b)^2

2. Apply the formula for the square of a binomial, which is (a+b)^2=a^2+2*a*b+b^2

3. Substitute a=x and b=1 into the formula.

4. Simplify the resulting terms to find the final expanded form.

x^2+2*(x)*(1)+1^2

x^2+2*x+1

Final Answer

(x+1)^2=x^2+2*x+1

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