SOLUTION: simplify: 5 + 3p - - pq q 2 - 1 - - x+1 x-2 (x-2)^2 ___________ x^2+x-6 x^2 +x - - y y

Algebra ->  Expressions-with-variables -> SOLUTION: simplify: 5 + 3p - - pq q 2 - 1 - - x+1 x-2 (x-2)^2 ___________ x^2+x-6 x^2 +x - - y y      Log On


   

Question 56872: simplify:
5 + 3p
- -
pq q


2 - 1
- -
x+1 x-2


(x-2)^2
____________
x^2+x-6


x^2 +x
- -
y y
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
simplify:
:
:
5%2Fpq+%2B+3p%2Fq
Common denominator is pq:
%285+%2B+p%283p%29%29%2Fpq = %285+%2B+3p%5E2%29%2Fpq
:
:
2%2F%28x%2B1%29+-+1%2F%28x-2%29
Common denominator is (x+1)(x-2):
%282%28x-2%29+-+1%28x%2B1%29%29%2F%28x%2B1%29%28x-2%29 = %282x+-+4+-+x+-+1%29%2F%28x%2B1%29%28x-2%29 = %28x+-+5%29%2F%28x%2B1%29%28x-2%29
:
:
(x-2)^2
____________
x^2+x-6
:
Factor:
%28%28x-2%29%28x-2%29%29%2F%28%28x%2B3%29%28x-2%29%29 = %28x-2%29%2F%28x%2B3%29%29
Canceled (x-2)
:
:
x%5E2%2Fy+%2B+x%2Fy = %28x%5E2+%2B+x%29%2Fy
Same denominators, so easy