Simplify: \((2a + 3b)^2 - (2a - 3b)^2\)
24ab
This expression is in the form x^2 - y^2, which factorises as (x + y)(x - y), where x = 2a + 3b and y = 2a - 3b.
Here, x + y = (2a + 3b) + (2a - 3b) = 4a, and x - y = (2a + 3b) - (2a - 3b) = 6b.
So the expression becomes (4a)(6b) = 24ab.
Hence, the correct answer is 24ab.
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