(2x+3)(2x-3) Answer

Jasonbradley

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Jun 16, 2024

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Expanding the Expression: (2x + 3)(2x - 3)

This expression represents the multiplication of two binomials. We can expand it using the FOIL method:

First: Multiply the first terms of each binomial. Outer: Multiply the outer terms of the binomials. Inner: Multiply the inner terms of the binomials. Last: Multiply the last terms of each binomial.

Let's apply it to our expression:

• First: (2x) * (2x) = 4x²
• Outer: (2x) * (-3) = -6x
• Inner: (3) * (2x) = +6x
• Last: (3) * (-3) = -9

Now, we combine all the terms:

4x² - 6x + 6x - 9

Notice that the -6x and +6x terms cancel each other out.

Therefore, the simplified answer is:

4x² - 9

This expression is a difference of squares, which is a common pattern in algebra. It follows the general form:

(a + b)(a - b) = a² - b²

In our case, a = 2x and b = 3.