evaluate 98×102by using suitable identity
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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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