Express X/((X+1)(X+2)) in partial fractions. OCR C4 style question

This question is asking us to split up the fraction into two separate fractions.

To begin we use one of the standard forms for solving partial fractions, this is (A/(X+1))+(B/(X+2)).

To solve set the first equation equal to the standard form and then solve as shown below.

X/((X+1)(X+2)= (A/(X+1))+(B/(X+2))


We can solve this equation by substituting in values for X, shown below:


The second bracket is cancelled out and so we are left with:




The first bracket is cancelled out and so we are left with:


Putting all of this back together gives:

(2/(X+2)) –(1(X+1))

Apologies for the style of the equations the website currently doesn’t support words equation editor.

David S. GCSE Maths tutor, A Level Maths tutor, GCSE Further Mathemat...

12 months ago

Answered by David, an A Level Maths tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist


£20 /hr

Georgia S.

Degree: Mathematics (Bachelors) - Bath University

Subjects offered:Maths, Design & Technology

Design & Technology

“Hi, I'm Georgia. I'm a Maths student with a passion for learning and with enough enthusiasm to inspire anyone to love Maths too!”

MyTutor guarantee

£20 /hr

Oscar G.

Degree: Economics and Politics (Bachelors) - Bristol University

Subjects offered:Maths, Politics+ 1 more


“About Me: I am a Economics and Politics student at Bristol University. I have always had a real passion and love for all things involving Mathematics, Economics and Politics and hope that my tutorials will instill that love in you, to...”

MyTutor guarantee

£20 /hr

Evelin H.

Degree: Economics (Bachelors) - Durham University

Subjects offered:Maths, Economics+ 1 more

-Personal Statements-

“Hi! I’m Evelin, an undergraduate at Durham University. Having been a tutor before, I know how hard it can be to keep up with all the work. So why do it alone?”

MyTutor guarantee

About the author

£22 /hr

David S.

Degree: Engineering (Masters) - Warwick University

Subjects offered:Maths, Physics+ 1 more

Further Mathematics

“About MeI am a first year engineering student at the University of Warwick, I enjoy maths and physics. I am patient, reliable and flexible to suit you but the focus of my tutoring is instilling confidence into a student as they work....”

You may also like...

Posts by David

Express X/((X+1)(X+2)) in partial fractions. OCR C4 style question

There are 200 students in Year 10 110 are boys. There are 250 students in Year 11 140 are boys. Which year has the greater proportion of boys? (Taken from Nov 2014 AQA Unit 2)

Other A Level Maths questions

Some videos I've made

Explain briefly the Normal Distribution

How do I use the chain rule to differentiate polynomial powers of e?

How do i differentiate the equation y = x^2 + 6x + 2 with respect to x.

View A Level Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss