Evaluate each of the following by using identities: (i)`0. 54 xx 0. 54-0. 46xx0.46` (ii) `103 xx 107`

Explanation

(i)`0.54 xx 0.54-0.46 xx 0.46`
`=(0.54)^2-(0.46)^2`
`=(0.54+0.46)(0.54-0.46)`
`= (1)(0.08)`
`= 0.08`
(ii)`(100 + 3) (100 + 7)`
Now, by using identity
`(x + a) (x + b) = x^2 + (a+b)xxx + ab`
So,`x = 100 , a = 3 , b = 7`
`=(100)^2 + (3+7)xx100 + (3xx7)`
`= 10000 + 1000 + 21`
`=11021`