Simplify (x+9)^2

Problem

(x+9)^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=9 into the formula.

4. Expand the terms to get x^2+2*(x)*(9)+9^2

5. Simplify the coefficients and the constant term to reach the final expression.

Final Answer

(x+9)^2=x^2+18*x+81

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