Simplify (2x+3)^2

Problem

(2*x+3)^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=2*x and b=3 into the formula.

4. Expand the terms to get (2*x)^2+2*(2*x)*(3)+(3)^2

5. Simplify each term by performing the multiplication and squaring.

6. Calculate the final terms: 4*x^2 12*x and 9

Final Answer

(2*x+3)^2=4*x^2+12*x+9

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