Question : Simplify the given expression. $(1 - 2x)^2 - (1 + 2x)^2$
Option 1: $8x$
Option 2: $-8x$
Option 3: $-(2 + 8x^2)$
Option 4: $2 + 8x^2$
Correct Answer: $-8x$
Solution : Given: $(1 - 2x)^2 - (1 + 2x)^2$ $=(1 + 4x^2-4x)- (1 + 4x^2+4x)$ $=1 + 4x^2-4x- 1 - 4x^2-4x$ $=-8x$ Hence, the correct answer is $-8x$.
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