Compute the value of $7^{2} + 13^{2}$

= $210$

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= $215$

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= $220$

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= $225$

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Solution

The correct option is C
= $220$

The given expression is

$7^{2} + 13^{2}$

= $(7 + 13)^{2} - 2 \times 7 \times 13$ [ $a^{2} + b^{2} = (a + b)^{2} - 2 \times a \times b$ ]

= $(20)^{2} - 180$

= $400 - 180$

= $220$

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