Question

((637 + 478)2

- (637 - 478)2

) /(637 x 478)

?​

Answer 1

Answer:

4

Step-by-step explanation:

((637 + 478)2 - (637 - 478)2)/(637 x 478)

Let's have a = 637, b = 478

Now expression is ((a + b)2 - (a - b)2) / ab

= (a2 + b2 + 2ab - (a2 + b2 - 2ab)) / ab

= (a2 + b2 + 2ab - a2 - b2 + 2ab) / ab

= 4ab / ab

= 4

We've used following formulae here:

(a + b)2  = a2 + b2 + 2ab.

(a - b)2  = a2 + b2 - 2ab.