I need to simplify:
[ ( a / ( 2x + h ) ) - ( a / 2x ) ] / h
so that it equals:
-a / [ 2x ( 2x + h ) ]
Please help, and show working with explanation if necessary.
2007-07-27 00:22:43 · 3 answers · asked by dixie4x42000 2 in Science & Mathematics ➔ Mathematics
[ ( a / ( 2x + h ) ) - ( a / 2x ) ] / h is the given expression
The denominators within the brackets are different and so the LCM is the product of the two. So, we can write the thing as
[(a . 2x) - a (2x + h) / 2x( 2x + h)] / h
= [ 2ax - 2ax - ah / 2x(2x + h)] / h
= - ah / h .2x (2x + h)
= -a / 2x (2x + h)
which is what is asked to be proved equal.
2007-07-27 00:45:46 · answer #1 · answered by Swamy 7 · 0⤊ 0⤋
haha thats cool, someone else whos in I.B.
I'd help you if i could sorry.
2007-07-27 07:30:21 · answer #2 · answered by xxx P 3 · 0⤊ 0⤋
[(a(2x)-a(2x+h)/2x(2x+h)]/h
[2ax-2ax-ah/2x(2x+h)]/h
[-ah/2x(2x+h)]/h
-a/2x(2x+h)
2007-07-27 07:42:34 · answer #3 · answered by Anonymous · 0⤊ 0⤋