Math, asked by anshii4456, 10 months ago

the value of 99²-98² is

Answers

Answered by talasilavijaya
1

Answer:

The value of (99)^{2} -(98)^{2} is 197.

Step-by-step explanation:

Given a series, (99)^{2} -(98)^{2}

Writing 99 as 98 + 1, the series can be rewritten as

(98+1)^{2} -(98)^{2}                                                                        ...(1)

Using the algebraic identity, (a+b)^{2} =(a)^{2}+(b)^{2}+2ab.

Equation (1) can be expanded as

(98)^{2}+1^{2} +2\times 98\times 1-(98)^{2}

Cancelling out the positive and negative (98)^{2}, we get

=1^{2} +2\times 98\times 1

=1 +196=197

Hence, the value of (99)^{2} -(98)^{2} is 197.

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