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Add the following. (i) ab-bc, bc-ca,ca...

Add the following.
(i) `ab-bc, bc-ca,ca-ab`
(ii) `a-b+ab,b-c+bc,c-a+ac`
(iii) `2p^2q^2-3pq+4,5+7pq-3p^2q^2`
(iv) `l^2+m^2,m^2+n^2,n^2+l^2,2lm+2mn+2nl`

Text Solution

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(i) `ab-bc+bc-ca+ca-ab`
`=ab-ab+bc-bc+ca-ca`
`=0`
(ii) `a-b+ab+b-c+bc+c-a+ac`
`=a-a+b-b+c-c+ab+bc+ca`
`=ab+bc+ca`
(iii) `2p^2q^2-3pq+4+5+7pq-3p^2q^2`
`=2p^2q^2-3p^2q^2+7pq-3pq+5+4`
...
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