Question

Evaluate (98)² using suitable identity

Answer 1

We can write (98)^2 as ( 100 - 2)^2
Therefore it is our (a-b) ^2 Identity!
So, (100-2)^2 = (100)^2 + (2)^2 - 2(100)(2)
= 10000 + 4 - 400
Which is equal to
=10004-400 = 9604

Therefore 98^2 = 9604

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Answer 2

(98)² = 9604

Given : (98)²

To find : The value using suitable identity

Formula :

$\sf {(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2}$

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is (98)²

Step 2 of 2 :

Find the value

We use the formula

$\sf {(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2}$

Thus we get

$\sf {(98)}^{2}$

$\sf = {(100 - 2)}^{2}$

$\sf = {100 }^{2} - 2 \times 100 \times 2 + {2}^{2}$

$\sf = 10000 - 400 + 4$

$\sf = 9600 + 4$

$\sf = 9604$

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