Compute the volume of $12^{2} + 8^{2}$

202

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204

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208

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216

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Solution

The correct option is C
208

The given expression is $12^{2} + 8^{2}$

$= (10 + 2)^{2} + (10 - 2)^{2} [(x + y)^{2} + (x - y)^{2} = 2 (x^{2} + y^{2})]$

$= 2 (10^{2} + 2^{2})$

$= 2 (100 + 4)$

$= 208$

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