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help dividing polynomial expressions/rational expressions!!?
could someone plz explain step by step how to divide this polynomial by this trinomial??
m^2-9mn+14n^2
------------------------
m^2+7mn+12n^2
divided by
3m^2-21mn
----------------
4m^3+16m^2n
just in case - the ^ symbol means to the power of.. so 16m^2n is 16(m^2)(n) hopefully i typed the question out clearly enough.
and if it would b any comfort ill let u know, this isnt an actual question, im doing review for a test and i chose the questions i did, but i cant figure this one out. so i would appreciate it very much if someone would take the time to explain it step by step clearly.
thank u so much if u do!!
1 Answer
- Anonymous1 decade agoFavorite Answer
1. factorize the fractions.
(m-7n) (m-2n) 3m(m-7n)
--------------------- divided by ------------------
(m+3n) (m+4n) 4m^2(m+4n)
2. multiply the first fraction by the reciprocal of the second (because its dividing.)
(m-7n) (m-2n) 4m^2(m+4n)
--------------------- multiplied by ------------------
(m+3n) (m+4n) 3m(m-7n)
3. simplify.
The answer is 4m(m-2n)
---------------
3(m+3n)