3.If ab = xy , then (a +b) ≠ (x+y) ,which smaller ? what will be its difference ?
If
the two numbers in the pair are widely separated, its sum will be larger .
e.g., 8x 3 = 6x4 = 24
8 and 3 are widely separated than 6 and 4, hence the sum 8 + 3 =11 is larger than the sum 6 + 4 = 10.
Let ab = xy
(a+b)2 = a2
+ b2 + 2ab or 2ab = (a+b)2 - a2
- b2 and
(x+y)2 = x2
+ y2 + 2xy or 2xy = (x+y)2 - x2 - y2
Invariably It satisfies the relation (a+b)2 - a2
- b2 = (x+y)2 - x2 - y2 or (a+b)2
- (x+y)2 = a2 +
b2 - x2 - y2
If ab = xy ,then (a+b)2 + (x-y)2 = (a-b)2 + (x+y)2
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