Question

Evaluate using a suitable identity : 1997 multiplied by 2003

Answer 1

     

Identity used: (a - b)(a + b) = a² - b².

1997 × 2003

⇒ (2000 - 3)(2000 + 3)

⇒ 2000² - 3²

⇒ 4000000 - 9

⇒ 3999991

OR

Identity used = (n - 3)(n + 3) = n² - 9

1997 × 2003

⇒ (2000 - 3)(2000 + 3)

⇒ 2000² - 9

⇒ 4000000 - 9

⇒ 3999991

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