Question

simplifying the rational expression: 2x/(x-5)*(x-4)/(x+1)

Can someone help me simplify this? I already know the answers but I'm having trouble explaining the steps to get there.

Answer 1

@wiseman905

Answer 2

Wow, I am only freshman. I don't think I can do that.

Answer 3

Oh darn.

Answer 4

hold on i need to find my old notes
lol

Answer 5

take your time. (not really, i need to get this done. xD)

Answer 6

are you in intermediate algebra

Answer 7

algebra 2. e.e

i was unfortunate enough to get the new common core course. they literally give us 2 examples, don't explain it, and then tell us to try and figure it out. -____-

Answer 8

im in algebra 2, im a sophomore let mehelp

Answer 9

im a junior and i still dont remember this

Answer 10

here look at this, if it doesnt help let me know
http://www.purplemath.com/modules/rtnldefs2.htm

Answer 11

I already have the answer, and somewhat the steps, can you help me explain it in numbers?

Answer 12

2x/(x-5)*(x-4)/(x+1) = 2x(x-4)/(x+1)(x-5)

First, we factor all the numerators and denominators.
Then, we simplify. We do this by duplicating all the factors.
Finally, we multiply the numerators and denominators together.

I need to put the numbers after each step..

Answer 13

ok gimme one sec

Answer 14

ok gray im going to leave you to solve this one ok?

Answer 15

sure

Answer 16

oh my.. its been forever >~<

Answer 17

\[\frac{ 2x }{ x-5 } \times \frac{ x-4 }{ x+1 }\]

Answer 18

How do I factor the numerators and denominators?

Answer 19

Do you need to oversimplify it?

Answer 20

No, my solution is: 2x(x-4)/(x+1)(x-5)

my teacher said my solution was perfect.. I just had to explain it xD

Answer 21

Why can't anyone solve this? D:

Answer 22

\(\frac{ 2x }{ x-5 } \times \frac{ x-4 }{ x+1 } \)

Step 1 : Factor
The given rational expressions are in factored form already. So nothing to do here :-
\(\large \frac{ 2x }{ x-5 } \times \frac{ x-4 }{ x+1 }\)

Step 2 : Simplify
Since there are no common factors that my be cancelled in both numerators and denominators, the rational expression remains same :-
\(\large \frac{ 2x }{ x-5 } \times \frac{ x-4 }{ x+1 }\)

Step 3 : Multiply
Multiply the fractions by multiplying the remaining numerators and denominators.Keep the expression in factored form :-
\(\large \frac{ 2x(x-4) }{ (x-5)(x+1) } \)

Answer 23

Thank you so much!

Answer 24

your teacher wants u justify it step by step

Answer 25

np... u wlc :)