Question

using identity, evaluate the following 197

$197 {}^{2}$
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Answer 1

Answer:

Answer is 38809

Step-by-step explanation:

as it is given :- (197)²

=(200-3)²

=its the identity (a-b)²

: We know (a-b)² = a² - 2ab+ b²

(200-3)²= (200)² - 2×200×3 + (3)²

40000-1200+9

38809. ANS.

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Answer 2

$= ( {197)}^{2}$

$= (200 - 3)$

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

$= ( {200 - 3)}^{2}$

$= {200}^{2} + {3}^{2} - 2 \times 200 \times 3$

$= 40,000 + 9 - 1200$

$= 38,809$