Question

Using the identity, the value of ${\left(500\right)}^2-{\left(1\right)}^2$

• A. $249999$
• B. $249998$
• C. $239999$
• D. $250009$

Answer 1

The correct option is A $249999$

Using identity $a^2-b^2=(a+b)(a-b)$

$\Rightarrow {\left(500\right)}^2-{\left(1\right)}^2=(500+1)(500-1)$

$=501\times 499$

$=249999.$

Hence, the answer is $249999.$