Question

Help! How do I simplify this rational expression? :'( 10x/x(2x-1) - 6(x-2)/5(x-2)

Answer 1

\[10x/x(2x-1) - 6(x-2)/5(x-2)\]
\[= (5)10x(x-2)/5x(2x-1)(x-2) - 6x(x-2)(2x-1)/5x(x-2)(2x-1)\]
\[= 50x(x-2)-6x(x-2)(2x-1)/5x(2x-1)(x-2)\]

Answer 2

i don't even know anymore D;

Answer 3

is it written like \[\LARGE \frac{10x}{x(2x-1)} - \frac{6(x-2)}{5(x-2)}???\]

Answer 4

yup!

Answer 5

cancel terms first

Answer 6

\[\LARGE \frac{10}{2x - 1} - \frac{6}{5}\]

Answer 7

i canceled x in the first term...and (x-2) in the second term

Answer 8

ohh.. okay

Answer 9

so now..can you operate that?

Answer 10

wait a second

Answer 11

suree

Answer 12

ohhh i got it but one question, for the 2nd last step: why is it a positive 6 and not a negative 6?

Answer 13

ohhh i got it but one question, for the 2nd last step: why is it a positive 6 and not a negative 6?

\[= 50/10x-5 - 12x+6/10x-5\]
\[= 50-12x+6/10\]

I thought it would be a negative..

Answer 14

sorry got logged off...do you still need an explanation?

Answer 15

yes please :$

Answer 16

so you take the LCD... \[\LARGE \frac{5(10) - 6(2x - 1)}{5(2x-1)}\]

did you get this?

Answer 17

yes

Answer 18

now we simplify...5 x 10 is 50

distribute -6 to (2x - 1)

-6 times 2x = -12x

-6 times -1 = 6

therefore you get \[\Large \frac{50 - 12x + 6}{10x - 5}\]

got it?

Answer 19

ohh it's -6 not positive six.. okay, got it! thank you!

Answer 20

great!! ^_^