Math, asked by hardev3310, 4 months ago

Evaluate102²-98² using suitable identity.​

Answers

Answered by Anonymous
6

Step-by-step explanation:

102² - 98² = (102 + 98) (102 - 98)

= 200 x 4

= 800

The identity used over here is

a² - b² = (a + b)(a - b)

Answered by SoulFulKamal
3

Question ⤵️

Evaluate 102²- 98² using suitable identity.

Answer ⤵️

Using the identity

(x+a)(x+b) = x²+(a+b)x+ab

Writing 102 as 100+2 and 98 as 100−2

Hence (100+2)(100−2) = 100² +[2+(−2)]100+(2)(−2)

= 10000+(0)100−4

= 9996

The answer is 9996.

Hope it helps ✌️

Step-by-step explanation:

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