Question

Using suitable identity. Find the product - 201 x 199.​

Answer 1

Step-by-step explanation:

201 = (200+1)

199 = (200-1)

201*199

=> (200+1)(200-1)     (which is (a+b)(a-b) = a^2 - b^2)

=> (200)^2 - (1)^2      (where a = 200 , b = 1)

=> 40000 - 1

=> 39999 ---> Answer

Answer 2

Step-by-step explanation:

201 = 200+1

199 = 200-1

(200+1)×(200-1) = 200² - 1²

(a+b)(a-b) = a²-b²

200² = 40000

1² = 1

40000 - 1 = 39999

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