P2 Algebraic Fractions...Help Please!

Watch
This discussion is closed.
Emz
Badges: 1
Rep:
?
#1
Report Thread starter 16 years ago
#1
Hi everyone!
Im having a total mind blank on simplifying this, I cant quite get it so if anyone could solve this showing the steps Id be eternally grateful!

x+1/2x-1 - x-1/2x+1 + 3/4x^2-1

Btw, the answer is 3/2x-1.

Thanks in advance for your help.

Emma xxx :cool:
0
theone
Badges: 0
Rep:
?
#2
Report 16 years ago
#2
You need to get everything over the lowest common denominator, which in this case is 4x^2 - 1. Try doing this...
0
mensandan
Badges: 1
Rep:
?
#3
Report 16 years ago
#3
(Original post by Emz)
Hi everyone!
Im having a total mind blank on simplifying this, I cant quite get it so if anyone could solve this showing the steps Id be eternally grateful!

x+1/2x-1 - x-1/2x+1 + 3/4x^2-1

Btw, the answer is 3/2x-1.

Thanks in advance for your help.

Emma xxx :cool:
Factorise last one:

(x+1)/(2x-1) - (x-1)/(2x+1) + 3/(2x-1)(2x+1)

Multiply through by (2x-1)(2x+1) and put in common denominator:

((x+1)(2x+1) - (x-1)(2x-1) + 3/(2x-1)(2x+1)

(2x^2 + 2x + x +1 - (2x^2 - 2x - x +1) + 3)/(2x + 1)(2x-1)

(6x+3)/(2x+1)(2x-1)

(3(2x+1))/(2x+1)(2x-1)

3/(2x-1)

Oh yeah!!!
0
Emz
Badges: 1
Rep:
?
#4
Report Thread starter 16 years ago
#4
Thanks loads, I had factorised the last one but hadnt multiplied through properly. I understand it totally now.

Thanks again

Emma xxx
0
X
new posts
Back
to top
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

If you do not get the A-level grades you want this summer, what is your likely next step?

Take autumn exams (125)
46.99%
Take exams next summer (37)
13.91%
Change uni choice through clearing (68)
25.56%
Apply to uni next year instead (24)
9.02%
I'm not applying to university (12)
4.51%

Watched Threads

View All