When mn+m^2-30n^2 is divided by m-5n, what is the quotient. Thank you

Answer 1

what is (m-5n)(m+6n)/(m-5n) ?

Don't be put off by the extra variable. You can easily factor

m^2+m-30, right? That's what you have if n=1.

Answer 2

I don't understand. Then what is the final answer

Answer 3

ahem

(m-5n)(m+6n)/(m-5n) = m+6n

!!

Answer 4

There is an interesting video showing how to do long division with two variables at

http://www.mathsisfun.com/algebra/polynomials-division-long.html

Scroll most of the way down the page to where the heading is "More than One Variable".

Follow its method using your problem and it should become clear.

Answer 5

Thanks