Question

Without actual calculation, using suitable identities- (i) (99)2 (ii) (998)2

Answer 1

Answer:

1) 198

2) 1996

Step-by-step explanation:

1)  99 x 2

 = 2 x (100 - 1)

 = 200 -2

 = 198

Similarly....

2) 998 x 2

  = 2 x (1000 - 2)

  =  2000 - 4

   = 1996

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Answer 2

Step-by-step explanation:

(99)^2

it can be written as

(100-1)^2

(a-b)^2 = a^2 + b^2 - 2ab

(100)^2+(1)^2-2 (100)(1)

10000+1-200

10000-199

9801

(998)^2

(1000-2)^2

(1000)^2+(2)^2-2 (1000)(2)

1000000+4-4000

996004