Question

Using suitable identity evaluate 1022 – 98 2. ​

Answer 1

Answer:

9996 is the correct answer.

Step-by-step explanation:

Hello mate!!

To find :

• 102-98 using suitable identity

We know that :

1. $(a-b)^2=a^2+b^2-2ab$
2. $(a+b)^2=a^2+b^2+2ab$
3. $a^2-b^2=(a+b)(a-b)$

Here :

• $a=102=100+2$

• $b=98 =100-2$

So we will use the third identity to find the answer because the question is given in $aXb=(a+b)(a-b)$ form.

The equation that we get after put values :

• $(100+2)(100-2)$

• $100^{2} - 2^{2}$

• 10000 - 4

• 9996

Therefore, the answer is 9996.