Simplify (3+h)^2

Problem

(3+h)^2

Solution

1. Identify the expression as a binomial squared 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=3 and b=h into the formula.

4. Calculate the square of the first term: 3^2=9

5. Calculate the middle term: $2(3)(h) = 6h$.

6. Calculate the square of the last term: h^2

7. Combine the terms to write the simplified expression.

Final Answer

(3+h)^2=9+6*h+h^2

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