SOLUTION: Simplify (factor if necessary): {{{(6r^2st^3 - 9rs^2t^2)/(3rst)}}}

Algebra ->  Expressions-with-variables -> SOLUTION: Simplify (factor if necessary): {{{(6r^2st^3 - 9rs^2t^2)/(3rst)}}}      Log On


   

Question 141319: Simplify (factor if necessary):
%286r%5E2st%5E3+-+9rs%5E2t%5E2%29%2F%283rst%29
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify (factor if necessary):
%286r%5E2st%5E3+-+9rs%5E2t%5E2%29%2F%283rst%29

There are two methods:

Method 1:  Distribute the denominator:
(That is, make two fractions by putting
the denominator under each term)

%286r%5E2st%5E3+-+9rs%5E2t%5E2%29%2F%283rst%29

becomes

%286r%5E2st%5E3%29%2F%283rst%29+-+%289rs%5E2t%5E2%29%2F%283rst%29

Simplify both fraction terms by 
canceling and subtracting exponents:

2rt%5E2-3st

Now you can factor out t:

t%282rt-3s%29

---------------------

Method 2:  Factor the numerator:

+%286r%5E2st%5E3+-+9rs%5E2t%5E2%29+%2F%283rst%29++

Factor 3rst^2 out of the numerator:

+%283rst%5E2%282rt+-+3s%29%29%2F%283rst%29

Then cancel:



and you end up with

t%282rt-3s%29

Edwin