Compute the value of $18^{2} + 12^{2}$

462

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468

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464

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478

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Solution

The correct option is B
468

The given expression is

$18^{2} + 12^{2}$

$= (15 + 3)^{2} + (15 - 3)^{2}$

$= 2 (15^{2} + 3^{2}) [(x + y)^{2} + (x - y)^{2} = 2 (x^{2} + y^{2})]$

$= 2 (225 + 9)$

$= 2 \times 234$

$= 468$

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