Question

Find $(98{)}^2$ without actual multiplication.

Answer 1

Let $y={98}^2$

so, $P={(100-2)}^2={\left(100\right)}^2+{\left(2\right)}^2-2\times 100\times 2$

$\Rightarrow P=10000+4-400=9604$

so, ${98}^2=9604$

Hence, the answer is $9604.$