The value of $16^{2} + 12^{2}$ is equal to

$400$

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$410$

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$420$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$440$

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Solution

The correct option is A
$400$

The given expression is

$16^{2} + 12^{2}$

$= (14 + 2)^{2} + (14 - 2)^{2}$

$= 2 (14^{2} + 2^{2}) [(x + y)^{2} + (x - y)^{2} = 2 (x^{2} + y^{2})]$

$= 2 (196 + 4)$

$= 2 \times 200$

$= 400$

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