SOLUTION: I'm having problems solving rarional & radical expressions. Here's the problem:Divide x^2-3x+2 over 7x-14 divided by x^2-1 over 7x+7 I would deeply appreciate anybodys help. Th

Algebra ->  Radicals -> SOLUTION: I'm having problems solving rarional & radical expressions. Here's the problem:Divide x^2-3x+2 over 7x-14 divided by x^2-1 over 7x+7 I would deeply appreciate anybodys help. Th      Log On


   

Question 152250This question is from textbook Intermediate Algebra
: I'm having problems solving rarional & radical expressions.
Here's the problem:Divide
x^2-3x+2 over 7x-14 divided by x^2-1 over 7x+7
I would deeply appreciate anybodys help.
Thanks
 This question is from textbook Intermediate Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x%5E2-3x%2B2%29%2F%287x-14%29%29%2F%28%28x%5E2-1%29%2F%287x%2B7%29%29 Start with the given expression.


%28%28x%5E2-3x%2B2%29%2F%287x-14%29%29%28%287x%2B7%29%2F%28x%5E2-1%29%29 Multiply the first fraction %28x%5E2-3x%2B2%29%2F%287x-14%29 by the reciprocal of the second fraction %28x%5E2-1%29%2F%287x%2B7%29.


%28%28%28x-1%29%2A%28x-2%29%29%2F%287x-14%29%29%28%287x%2B7%29%2F%28x%5E2-1%29%29 Factor x%5E2-3x%2B2 to get %28x-1%29%2A%28x-2%29.


%28%28%28x-1%29%2A%28x-2%29%29%2F%287%28x-2%29%29%29%28%287x%2B7%29%2F%28x%5E2-1%29%29 Factor 7x-14 to get 7%28x-2%29.


%28%28%28x-1%29%2A%28x-2%29%29%2F%287%28x-2%29%29%29%28%287%28x%2B1%29%29%2F%28x%5E2-1%29%29 Factor 7x%2B7 to get 7%28x%2B1%29.


Factor x%5E2-1 to get %28x-1%29%2A%28x%2B1%29.


%28%28x-1%29%2A%28x-2%297%28x%2B1%29%29%2F%287%28x-2%29%28x-1%29%2A%28x%2B1%29%29 Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


1 Simplify.


So %28%28x%5E2-3x%2B2%29%2F%287x-14%29%29%2F%28%28x%5E2-1%29%2F%287x%2B7%29%29 simplifies to 1.


In other words, %28%28x%5E2-3x%2B2%29%2F%287x-14%29%29%2F%28%28x%5E2-1%29%2F%287x%2B7%29%29=1 where x%3C%3E-1, x%3C%3E1, or x%3C%3E2