Question

The value of $(501{)}^2-(500{)}^2$ is :

• A. $1$
• B. $101$
• C. $1,001$
• D. None of these

Answer 1

The correct option is C $1,001$

Given, $(501{)}^2-(500{)}^2$.

We know, $a^2-b^2=(a+b)(a-b)$.

Then,

$(501{)}^2-(500{)}^2$

$=(501+500)(501-500)$
$=\left(1001\right)\left(1\right)$

$=1001$.

Therefore, option $C$ is correct.