Question

Evaluate using identities (99)²​

Answer 1

Answer:

(100 - 1)² = (100)² + (1)² - 2( 100)(1). =10000 + 1 - 200. =9801. Therefore, we have evaluated 99² using identities..

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Answer 2

□To Solve:-

• Evaluate using identies: (99)^2

□Solution:-

➷Given,

(99)^2

➷We can also write this equation as,

(100-1)^2

➷Now,

■Using identity (a-b)^2 = a^2 - 2ab + b^2

■Implementing this Identity, we have,

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

=》(100-1)^2 = 10000 - 200 + 1

=》(100-1)^2 = 10000 - 199

=》(100-1)^2 = 9801

•°• (99)^2 = 9801