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Question

Add the following: l2+m2,m2+n2,n2+l2,2lm+2mn+2nl


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Solution

We have,

l2+m2,m2+n2,n2+l2,2lm+2mn+2nl

(l2+m2)+(m2+n2)+(n2+l2)+(2lm+2mn+2nl)=l2+m2+m2+n2+n2+l2+2lm+2mn+2nl=l2+l2+m2+m2+n2+n2+2lm+2mn+2nl[Combiningliketermsandsimplifying]=2l2+2m2+2n2+2lm+2mn+2nl

Hence, when we add l2+m2,m2+n2,n2+l2,2lm+2mn+2nl we get 2l2+2m2+2n2+2lm+2mn+2nl.


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