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

$218$

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$208$

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$198$

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$204$

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Solution

The correct option is B
$208$

The given expression is

$12^{2} + 8^{2}$

= $(12 + 8)^{2} - 2 \times 12 \times 8$ [ $a^{2} + b^{2} = (a + b)^{2} - 2 \times a \times b$ ]

= $(20)^{2} - 192$

= $400 - 192$

= $208$

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