The value of expression $23^{2} + 19^{2}$ is $= 890$

True

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False

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Solution

The correct option is A
True

The given expression is

$23^{2} + 19^{2}$

$= (21 + 2)^{2} + (21 - 2)^{2}$

$= 2 (21^{2} + 2^{2}) [(x + y)^{2} + (x - y)^{2} = 2 (x^{2} + y^{2})]$

$= 2 (441 + 4)$

$= 2 \times 445$

$= 890$

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