SOLUTION: Subtract: 4/x+2-3/3x+6. Can you show me the steps?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Subtract: 4/x+2-3/3x+6. Can you show me the steps?      Log On


   

Question 201979: Subtract: 4/x+2-3/3x+6. Can you show me the steps?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4%2F%28x%2B2%29-3%2F%283x%2B6%29 Start with the given expression.


4%2F%28x%2B2%29-3%2F%283%28x%2B2%29%29 Factor the second denominator


%283%2A4%29%2F%283%28x%2B2%29%29-3%2F%283%28x%2B2%29%29 Multiply the first fraction by 3%2F3


12%2F%283%28x%2B2%29%29-3%2F%283%28x%2B2%29%29 Multiply


%2812-3%29%2F%283%28x%2B2%29%29 Subtract the fractions.


%289%29%2F%283%28x%2B2%29%29 Subtract


%283%2A3%29%2F%283%28x%2B2%29%29 Factor 9 to get 3*3


%28cross%283%29%2A3%29%2F%28cross%283%29%28x%2B2%29%29 Cancel out the common terms.


3%2F%28x%2B2%29 Simplify


So 4%2F%28x%2B2%29-3%2F%283x%2B6%29=3%2F%28x%2B2%29 where x%3C%3E-2