Question

evaluate 98×102by using suitable identity ​

Answer 1

Step-by-step explanation:

Using the identity (x+a)(x+b) = x

2

+(a+b)x+ab

Writing 102 as (100+2) and 98 as (100−2)

Hence (100+2)(100−2) = 100^2+[2+(−2)]100+(2)(−2)

= 10000+(0)100−4

= 9996

Hence the answer is 9996.

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