SOLUTION: Multiply. x^2-4 over x+1 *3x+3 over x^2-7x+10 * x-5 over x^2+7x+10 My answer is 3over x+5 Am I correct?

Algebra ->  Expressions-with-variables -> SOLUTION: Multiply. x^2-4 over x+1 *3x+3 over x^2-7x+10 * x-5 over x^2+7x+10 My answer is 3over x+5 Am I correct?      Log On


   

Question 191766This question is from textbook saxon algebra 2
: Multiply.
x^2-4 over x+1 *3x+3 over x^2-7x+10 * x-5 over x^2+7x+10
My answer is 3over x+5
Am I correct? This question is from textbook saxon algebra 2

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given expression.


Factor x%5E2-4 to get %28x-2%29%2A%28x%2B2%29.


Factor 3x%2B3 to get 3%28x%2B1%29.


Factor x%5E2-7x%2B10 to get %28x-2%29%2A%28x-5%29.


Factor x%5E2%2B7x%2B10 to get %28x%2B5%29%2A%28x%2B2%29.


Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


3%2F%28x%2B5%29 Simplify.


So simplifies to 3%2F%28x%2B5%29.


In other words, where x%3C%3E-1, x%3C%3E2, x%3C%3E-5, x%3C%3E-2, or x%3C%3E5


So you are correct.