Question

Use suitable identity and find the value of ${97}^2$

• A. 10409
• B. 90409
• C. 9409
• D. 11049

Answer 1

The correct option is C

9409

${97}^2$ = $(100-3{)}^2$

$\text{Using the identity, we get:}$
$(a-b{)}^2=(a^2-2ab+b^2)$
$={100}^2-2\left(100\right)\left(3\right)+3^2$
$=10000-600+9$
$=9409$