Question

$397\times 397+104\times 104+2\times 397\times 104=$

• A. $250001$
• B. $251001$
• C. $260101$
• D. $261001$

Answer 1

Answer: (B)

$251001$

Given Exp. $={\left(397\right)}^2+{\left(104\right)}^2+2\times 397\times 104$
$={(397+104)}^2$
$={\left(501\right)}^2={(500+1)}^2$
$=\left({500}^2\right)+{\left(1\right)}^2+(2\times 500\times 1)$
$=250000+1+1000$
$=251001$