SOLUTION: Factor this expression completely. Note: Place factors alphabetically in the grid! mr + ns - nr - ms -Thanks(:

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor this expression completely. Note: Place factors alphabetically in the grid! mr + ns - nr - ms -Thanks(:      Log On


   

Question 612898: Factor this expression completely. Note: Place factors alphabetically in the grid!
mr + ns - nr - ms

-Thanks(:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
mr + ns - nr - ms

mr - nr + ns - ms

(mr - nr) + (ns - ms)

r(m - n) + (ns - ms)

r(m - n) - s(-n + m)

r(m - n) - s(m - n)

(r - s)(m - n)

(m - n)(r - s)

So mr + ns - nr - ms completely factors to (m - n)(r - s)