Question

using suitable identity solve
${99}^{2}$
​

Answer 1

99² = (100 - 1)²

= 10000 + 1 - 200

= 9801.

Answer 2

Answer:

9801

Step-by-step explanation:

Using identity :

${(a -b)}^{2} = {a} ^{2} + {b}^{2} - 2ab$

${ \: \: \: \: \: 99}^{2}$

$= ( 100 - 1) ^{2}$

$= {(100)}^{2} + ( {1})^{2} - 2 \times 100 \times 1$

$= 10000 + 1 - 200$

$= 10001 - 200$

$= 9801$