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

2 min read Jun 16, 2024

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

This expression involves the multiplication of two binomials, which can be expanded using the FOIL method. FOIL stands for First, Outer, Inner, Last, and it outlines the steps to multiply the terms in the binomials.

Step 1: First

Multiply the first terms of each binomial: (2x) * (2x) = 4x²

Step 2: Outer

Multiply the outer terms of each binomial: (2x) * (3) = 6x

Step 3: Inner

Multiply the inner terms of each binomial: (-3) * (2x) = -6x

Step 4: Last

Multiply the last terms of each binomial: (-3) * (3) = -9

Combining the Terms

Now we have all the terms, and we can combine them:

4x² + 6x - 6x - 9

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

Final Answer

Therefore, the expanded form of (2x-3)(2x+3) is:

4x² - 9

This result is a difference of squares, a common pattern in algebra.