What is the simplified form of \( (3a+2b)^2-(3a-2b)^2 \)?

Correct answer: \(24ab\)

Use the identity \((x+y)^2-(x-y)^2=4xy\). Here, \(x=3a\) and \(y=2b\), so the expression equals \(4\times 3a\times 2b=24ab\). Hence, option B is correct. \(9a^2-4b^2\) is the product \((3a+2b)(3a-2b)\), whereas the question gives the difference of the squares of these two binomials. Exam tip: for an expression of the form \((x+y)^2-(x-y)^2\), apply \(4xy\) directly.