1. State the problem: Simplify the expression $$\sin(2x) \cdot \cos(2x) - 2 \sin(2x)$$. 2. Factor out the common term $$\sin(2x)$$: $$\sin(2x) (\cos(2x) - 2)$$ 3. The expression is now factored as a product of two terms: $$\sin(2x) (\cos(2x) - 2)$$. This is the simplified form since $$\cos(2x) - 2$$ cannot be simplified further using standard identities. Final answer: $$\sin(2x)(\cos(2x) - 2)$$