What is the simplified value of $(x + 4)^{2} - (x - 4)^{2}$ ?

4 x

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8 x

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16 x

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32 x

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Solution

The correct option is B $16 x$
$(x + 4)^{2} - (x - 4)^{2} = (x + 4 + x - 4) (x + 4 - x + 4) = (2 x) (8) = 16 x$

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