SOLUTION: (t² - 2t - 3)/(t² - 1) • (3t - 3)/(t² - 4t + 3)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: (t² - 2t - 3)/(t² - 1) • (3t - 3)/(t² - 4t + 3)      Log On


   

Question 158977: (t² - 2t - 3)/(t² - 1) • (3t - 3)/(t² - 4t + 3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28%28t%5E2-2t-3%29%2F%28t%5E2-1%29%29%28%283t-3%29%2F%28t%5E2-4t%2B3%29%29 Start with the given expression.


%28%28%28t%2B1%29%2A%28t-3%29%29%2F%28t%5E2-1%29%29%28%283t-3%29%2F%28t%5E2-4t%2B3%29%29 Factor t%5E2-2t-3 to get %28t%2B1%29%2A%28t-3%29.


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


Factor 3t-3 to get 3%28t-1%29.


Factor t%5E2-4t%2B3 to get %28t-1%29%2A%28t-3%29.


%28%28t%2B1%29%2A%28t-3%293%28t-1%29%29%2F%28%28t-1%29%2A%28t%2B1%29%28t-1%29%2A%28t-3%29%29 Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


%283%29%2F%28t-1%29 Simplify.


So %28%28t%5E2-2t-3%29%2F%28t%5E2-1%29%29%28%283t-3%29%2F%28t%5E2-4t%2B3%29%29 simplifies to %283%29%2F%28t-1%29.


In other words, where t%3C%3E-1, t%3C%3E1, or t%3C%3E3