SOLUTION: Can you help me subtract this rational equation, and put it in simplest form? y-2 over y+3 minus y over 2y+6 Thanks in advance! ac

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can you help me subtract this rational equation, and put it in simplest form? y-2 over y+3 minus y over 2y+6 Thanks in advance! ac      Log On


   

Question 61209: Can you help me subtract this rational equation, and put it in simplest form?
y-2 over y+3 minus y over 2y+6
Thanks in advance!
ac
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
(Y-2)/(Y+3)-Y/(2Y+6) FINDING THE COMMON DENOMINATOR WE GET
[(Y-2)(2Y+6)-Y(Y+3)]/(Y+3)(2Y+6) NOW MULTIPLY
(2Y^2-4Y+6Y-12-Y^2-3Y)/(2Y^2+6Y+6Y+18)
(Y^2-Y-12)/(2Y^2+12Y+18)
(Y-4)(Y+3)/(2Y+6)(Y+3) NOW CANCEL OUT THE (Y+3) COMMON FACTORS & WE ARE LEFT WITH
(Y-4)/(2Y+6) OR (Y-4)/2(Y+3)