Question

$107\times 107+93\times 93=$?

• A. $19578$
• B. $19418$
• C. $20098$
• D. $21908$
• E. None of these

Answer 1

Answer: (C)

$20098$

$107\times 107+93\times 93={107}^2+{93}^2$
$={(100+7)}^2+{(100-7)}^2$
$=2\times [{\left(100\right)}^2+7^2]$ ...................... [Ref: ${(a+b)}^2+{(a-b)}^2=2(a^2+b^2)$]
$=20098$