Question

Find square of 199 by using identity

Answer 1

Hey friend your answer

(200-1) ^2=200^2-2×200×1+1^2

=40000-400+1

=39600+1

=39601

Answer 2

199

= (200 - 1)²

Using algebraic identity: (x - y)² = x² - 2xy + y²

Here x = 200, y = 1

By substituting the values :

(200 - 1)² = (200)² - 2(200)(1) + (1)²

= 40000 - 400 + 1

= 40001 - 400

= 39601

Therefore 199² = 39601.