Use (a - b) 2 = a 2 - 2ab + b 2 to evaluate the following: (99) 2

(99) 2 = (100 - 1) 2 Using (a - b) 2 = a 2 - 2ab + b 2 , (100 - 1) 2 = (100) 2 - 2(100)(1) + (1) 2 = 10000 - 200 + 1 = 9801

Mathematics

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(99)² = (100 - 1)²

Using (a - b)² = a² - 2ab + b²,

(100 - 1)² = (100)² - 2(100)(1) + (1)²

= 10000 - 200 + 1 = 9801

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