Simplify the following expression: $(s - r)^{2} - (s + r)^{2}$

2 s r

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2 s^{2} + 2 r^{2}

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- 4 s r

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2 s^{2} - 2 r^{2}

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Solution

The correct option is B $- 4 s r$
We know that binomial identities for $(x + y)^{2} = x^{2} + 2 x y + y^{2}$
and $(x - y)^{2} = x^{2} - 2 x y + y^{2}$
So, $(s - r)^{2} - (s + r)^{2}$ $=$ $s^{2} - 2 s r + r^{2} - s^{2} - 2 s r - r^{2}$
$=$ $- 4 s r$

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