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Question

If m=315 and n=314 , find the value mn1m2+mn+n2

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Solution

Given:
m3=15,n3=14
Now, solving
mn1m2+mn+n2

Taking LCM,
=m3+m2n+mn2nm2mn2n31m2+mn+n2

=m3n31m2+mn+n2

Substituting the given values,
=15141m2+mn+n2

=0

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