Evaluate the following :
(i)`107 xx 103`
(ii) `56xx 48`
(iii) `95 xx97`

Explanation

Given:

`(i) 107xx103`

Identity: `(x + a) (x + b) = x^2 + (a + b)x + ab`

`=>103 × 107 = (100 + 3)(100 + 7)`

Substituting` x = 100, a = 3, b = 7 `in the above identity, we get
`= (100)2 + (3 + 7)(100) + (3)(7)

= 10000 + 1000 + 21
...