simplify 2x over X+3 minus 18 over x^2+3x?

3 ⤊

simplify 2x over X+3 minus 18 over x^2+3x?

2007-12-22 05:14:27 · 2 answers · asked by joseph m 1 in Science & Mathematics ➔ Mathematics

2 answers

2 x / ( x + 3 ) - 18 / ( x ) ( x + 3 )

2 x ( x ) - 18
--------------
( x ) ( x + 3 )

2 ( x ² - 9)
-------------
( x ) ( x + 3 )

2 ( x - 3 )( x + 3 )
-----------------
( x ) ( x + 3 )

( 2 / x ) (x - 3)

2007-12-22 07:39:29 · answer #1 · answered by Como 7 · 2⤊ 0⤋

2x/(x+3) - 18/(xÂ²+3x) =

2x/(x+3) - 18/x(x+3)

LCM = x(x+3) , cross multiplying

(2x(x) - 18)/x(x+3) =
(2xÂ² -18)/x(x+3) =

2(xÂ²-9)/x(x+3) =
2(x+3)(x-3)/x(x+3) =
2(x-3)/x
= 2 - 6/x or (2x-6)/x
~~~

2007-12-22 05:20:45 · answer #2 · answered by A Little Sarcasm Helps 5 · 1⤊ 0⤋