To simplify the expression \((2x + 3)^2\), you can expand it using the binomial formula:

\[
(a + b)^2 = a^2 + 2ab + b^2
\]

In your case:
- \(a = 2x\)
- \(b = 3\)

Now apply the formula:

\[
(2x + 3)^2 = (2x)^2 + 2(2x)(3) + 3^2
\]

Simplify each term:

\[
(2x)^2 = 4x^2
\]

\[
2(2x)(3) = 12x
\]

\[
3^2 = 9
\]

So, the expanded form is:

\[
(2x + 3)^2 = 4x^2 + 12x + 9
\]

Would you like any further details or have any questions about this solution?

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Here are five related questions:

1. How would you expand \((3x - 4)^2\)?
2. What is the expanded form of \((x + 5)^2\)?
3. How do you factor the quadratic expression \(4x^2 + 12x + 9\)?
4. Can you solve the equation \((2x + 3)^2 = 0\) for \(x\)?
5. What is the general form of a binomial square expansion?

**Tip:** Memorizing the binomial expansion formula can greatly speed up your work with polynomials!

Learn how to expand the expression (2x + 3)^2 using the binomial expansion formula. This detailed guide covers the steps involved in expanding binomial squares, suitable for Grades 7-9 students.

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