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!