What is #(m-3n)/(6m^3n) - (m+3n)/(6m^3n)#?

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Answer 1 · 2016-05-20T13:48:53

Subtract the two terms and simplify to end up with #-1/(m^3)#

In this question we have a common denominator already, so we can go ahead and do the subtraction. Let's do it a little bit at a time:

#(m-3n)/(6m^3n)-(m+3n)/(6m^3n)#

#(m-3n-(m+3n))/(6m^3n)#

#(m-3n-m-3n)/(6m^3n)#

The m terms subtract each other, so we get:

#(-6n)/(6m^3n)#

which we can simplify to:

#-1/(m^3)#