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(x+y)^2 + (x-y)^2 and (x+y)^2 - (x-y)^2

Compute the v...

Question

Compute the value of $10^{2} + 18^{2}$

428

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424

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426

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432

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Solution

The correct option is B
424

The given expression can be written as

$18^{2} + 10^{2}$

$= (14 + 4)^{2} + (14 - 4)^{2}$

$= 2 (14^{2} + 4^{2}) [(x + y)^{2} + (x - y)^{2} = 2 (x^{2} + y^{2})]$

$= 2 (196 + 16)$

$= 2 \times 212$

$= 424$

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