Expand(2x+3y)(2x−3y).

To expand the expression (2x + 3y)(2x - 3y), we will use the distributive property (also known as the FOIL method for binomials).

Step 1: Multiply the first terms in each binomial. (2x) * (2x) = 4x²

Step 2: Multiply the outer terms. (2x) * (-3y) = -6xy

Step 3: Multiply the inner terms. (3y) * (2x) = 6xy

Step 4: Multiply the last terms in each binomial. (3y) * (-3y) = -9y²

Now, combine all the terms: 4x² + (-6xy) + 6xy + (-9y²)

Notice that -6xy and 6xy cancel each other out: 4x² - 9y²

So, the expanded form of (2x + 3y)(2x - 3y) is: 4x² - 9y²