Using Identity find
(i) `((3m) /2 + (2n)/3) ((3m)/2 - (2n)/3 )` (ii) `983^2 - 17^2` (iii) `194 xx 206`

Explanation

(i) `(3/2(m) + 2/3 (n)) (3/2 (m) - 2/3 (n))`

using identity, `(a+b)(a-b)=a^2-b^2`

`=(3/2m)^2-(2/3n)^2`

`=(3/2)^2**m^2-(2/3)^2**n^2`

`=9/4m^2-4/9n^2`

(ii) `983^2-17^2`

`=(983+17)(983-17)`

`=(1000)(966)`

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