Question : Simplify the expression: $(c+d)^2-(c-d)^2$
Option 1: $4cd$
Option 2: $\left(c^2+d^2\right)$
Option 3: $2\left(c^2+d^2\right)$
Option 4: $2cd$
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Correct Answer: $4cd$
Solution : We know that: $(a-b)^2=a^2+b^2-2ab$ So, $(c+d)^2-(c-d)^2$ $= c^2+d^2+2cd-(c^2+d^2-2cd)$ $= 4cd$ Hence, the correct answer is $4cd$.
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