Math, asked by papu2006, 1 year ago

using identities, evaluate 99^2

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Answers

Answered by aryanswami2503
422
99²=(99)(99)=(100-1)(100-1)=(100-1)²=100²+1²-2(100)(1)=10000+1-200=9801
Answered by CoolestCat015
376

Hey dear here is your answer!!!!!


___________________________

We can re - write 99² as (100 - 1)²

This makes our calculations very simple !


We use the identity:-


(a - b)² = a² + b² - 2ab


And here we go:-


(100 - 1)² = (100)² + (1)² - 2(100)(1)

              =10000 + 1 - 200

              =9801


Therefore, we have evaluated 99² using identities.


Hence, 99² = 9801


❣️⭐ Hope it helps you dear...⭐⭐❣️❣️


papu2006: can you say for this 102^2
CoolestCat015: yep
CoolestCat015: 102^2 = (100 + 2)^2 = 10000 + 4 + 400 = 10404
papu2006: thank you
CoolestCat015: no problem ^_^
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