SOLUTION: How do we simplify this question---- (((x^2-4x-60)))/(((x+6))) x (((x-6)))/(((x^2+3x-54)))????

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do we simplify this question---- (((x^2-4x-60)))/(((x+6))) x (((x-6)))/(((x^2+3x-54)))????      Log On


   

Question 193655: How do we simplify this question---- (((x^2-4x-60)))/(((x+6))) x (((x-6)))/(((x^2+3x-54)))????
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!



%28%28x%5E2-4x-60%29%2F%28x%2B6%29%29%28%28x-6%29%2F%28x%5E2%2B3x-54%29%29 Start with the given expression.


%28%28%28x%2B6%29%2A%28x-10%29%29%2F%28x%2B6%29%29%28%28x-6%29%2F%28x%5E2%2B3x-54%29%29 Factor x%5E2-4x-60 to get %28x%2B6%29%2A%28x-10%29.


Factor x%5E2%2B3x-54 to get %28x%2B9%29%2A%28x-6%29.


%28%28x%2B6%29%28x-10%29%28x-6%29%29%2F%28%28x%2B6%29%28x%2B9%29%28x-6%29%29 Combine the fractions.



Highlight the common terms.



Cancel out the common terms.


%28x-10%29%2F%28x%2B9%29 Simplify.


So %28%28x%5E2-4x-60%29%2F%28x%2B6%29%29%28%28x-6%29%2F%28x%5E2%2B3x-54%29%29 simplifies to %28x-10%29%2F%28x%2B9%29.


In other words, where x%3C%3E-9, x%3C%3E-6, or x%3C%3E6