The difference of m2 + n2 and m + n is​

Mathematics · College · Tue Nov 03 2020

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Given the statement:

The difference of m^2 + n^2 and m + n is​

Solution:

We are asked to find the difference of variables with different degrees. It is a common rule that variables with different degrees/magnitude/exponent cannot be added or subtracted from each other, hence in multiplying or dividing variables or values with an exponent, then we can apply the rules of exponent.  In our case, we will simply write the equation as it is, and also include a minus sign.

= ( m^2 + n^2 ) - ( m + n )

=  m^2 + n^2 -  m - n 

Final answer:

=  m^2 + n^2 -  m - n