SOLUTION: How to simplify (4x/x+3)-(4x/x+6)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How to simplify (4x/x+3)-(4x/x+6)      Log On


   

Question 954858: How to simplify (4x/x+3)-(4x/x+6)
Answer by etutorworld(19) About Me  (Show Source):
You can put this solution on YOUR website!
How to simplify (4x/x+3)-(4x/x+6)

This can be solved by taking the common denominator and finally simplifying it
We can first take out 4x common from the both the terms

4x( 1/x+3 - 1/x+6)
Now the common denominator is (x+3).(x+6)
4x [(x+6) - (x+3)]/[(x+3).(x+6)]
4x [ x + 6 - x - 3]/[(x+3).(x+6)]
4x [ 3/(x+3).(x+6)]
12x/[(x+3).(x+6)] [Answer]