SOLUTION: please divide {{{(r+5) / (r^2 + 5r - 14)}}} BY {{{(r^2 + 4r - 21)/ (r - 2)}}} thank you!!!

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: please divide {{{(r+5) / (r^2 + 5r - 14)}}} BY {{{(r^2 + 4r - 21)/ (r - 2)}}} thank you!!!      Log On


   

Question 7346: please divide %28r%2B5%29+%2F+%28r%5E2+%2B+5r+-+14%29 BY %28r%5E2+%2B+4r+-+21%29%2F+%28r+-+2%29
thank you!!!
Answer by bonster(299) About Me  (Show Source):
You can put this solution on YOUR website!
%28r%2B5%29+%2F+%28r%5E2+%2B+5r+-+14%29 / %28r%5E2+%2B+4r+-+21%29+%2F%28+r+-+2%29

%28r%2B5%29+%2F+%28r%2B7%29%28r-2%29 / %28r%2B7%29%28r-3%29%2F%28+r+-+2%29

multiply it with the reciprocal of %28r%2B7%29%28r-3%29%2F%28+r+-+2%29 which is %28r-2%29%2F%28r%2B7%29%28r-3%29
(%28r%2B5%29+%2F+%28r%2B7%29%28r-2%29)(%28r-2%29%2F%28r%2B7%29%28r-3%29)
%28r%2B5%29%2F%28r%2B7%29%28r%2B7%29%28r-3%29
=%28r%2B5%29%2F%28r%5E2%2B14r%2B49%29%28r-3%29
=%28r%2B5%29%2F%28r%5E3%2B14r%5E2%2B49r-3r%5E2-42r-147%29
=%28r%2B5%29%2F%28r%5E3%2B11r%5E2%2B7r-147%29