SOLUTION: Thank you for your help I am asked to divide (x-9)(x+8) (x+9)(x-3) ___________ divided by ___________ (x-6)(x+5) (x-6)(x+3) I did the fact

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Thank you for your help I am asked to divide (x-9)(x+8) (x+9)(x-3) ___________ divided by ___________ (x-6)(x+5) (x-6)(x+3) I did the fact      Log On


   

Question 236422: Thank you for your help
I am asked to divide
(x-9)(x+8) (x+9)(x-3)
___________ divided by ____________
(x-6)(x+5) (x-6)(x+3)
I did the factoring from
x%5E2-x-72 x%5E2%2B6x-27
___________ / ____________
x%5E2-x-30 x%5E2-9x%2B18
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28%28x%5E2-x-72%29%2F%28x%5E2-x-30%29%29%2F%28%28x%5E2%2B6x-27%29%2F%28x%5E2-9x%2B18%29%29 Start with the given expression.


%28%28x%5E2-x-72%29%2F%28x%5E2-x-30%29%29%28%28x%5E2-9x%2B18%29%2F%28x%5E2%2B6x-27%29%29 Multiply the first fraction %28x%5E2-x-72%29%2F%28x%5E2-x-30%29 by the reciprocal of the second fraction %28x%5E2%2B6x-27%29%2F%28x%5E2-9x%2B18%29.


Factor x%5E2-x-72 to get %28x%2B8%29%2A%28x-9%29.


Factor x%5E2-x-30 to get %28x%2B5%29%2A%28x-6%29.


Factor x%5E2-9x%2B18 to get %28x-3%29%2A%28x-6%29.


Factor x%5E2%2B6x-27 to get %28x%2B9%29%2A%28x-3%29.


Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


%28%28x%2B8%29%28x-9%29%29%2F%28%28x%2B5%29%28x%2B9%29%29 Simplify.


%28x%5E2-x-72%29%2F%28x%5E2%2B14x%2B45%29 FOIL


So %28%28x%5E2-x-72%29%2F%28x%5E2-x-30%29%29%2F%28%28x%5E2%2B6x-27%29%2F%28x%5E2-9x%2B18%29%29 simplifies to %28x%5E2-x-72%29%2F%28x%5E2%2B14x%2B45%29.


In other words,