Using the formula (a + b)2 = (a2 + 2ab + b2), evaluate (508)2. – InterviewSolution

1.

Using the formula (a + b)2 = (a2 + 2ab + b2), evaluate (508)2.

Answer»

Given (508)²

We have (a + b)²= (a²+ 2ab + b²)(508)²can be written as 500+8 So here a=500 and b=8

Using the formula,

(500 + 8)²= (500²+ 2 X 500 X 8 + 8²)

On simplifying we get

(500 + 8)²= (250000 + 8000 +64)

(508) ²= 258064

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