Using the formula (a – b)2=(a2 – 2ab + b2), evaluate (689)2. – InterviewSolution

1.

Using the formula (a – b)2=(a2 – 2ab + b2), evaluate (689)2.

Answer»

Given (689)²

We have (a – b)²= (a²– 2ab + b²)(689)²can be written as 700-11 So here a=700 and b=11

Using the formula,

(700 – 11)²= (700²– 2 X 700 X 11 + 11²)

On simplifying we get

(700 – 11)²= (490000 – 15400 +121)

(689)²= 474721

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