711 views

### 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))

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

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

X=-1

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

-1=A

And

X=-2

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

B=2

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.

1 year ago

Answered by David, an A Level Maths tutor with MyTutor

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

#### 346 SUBJECT SPECIALISTS

£26 /hr

Degree: Mathematical and Theoretical Physics (Masters) - Oxford, Merton College University

Subjects offered:Maths, Science+ 5 more

Maths
Science
Physics
Further Mathematics
Chemistry
.MAT.
-Personal Statements-

“Mathematics and Theoretical Physics, University of Oxford. I enjoy sharing my experience and enthusiasm in Maths with those who could do with some help”

£30 /hr

Degree: Mathematics (Bachelors) - Bristol University

Subjects offered:Maths, Further Mathematics

Maths
Further Mathematics

“Hi, I'm Joe, an experienced tutor and a University of Bristol graduate with a first class Degree in Mathematics.”

£22 /hr

Degree: Mathematics (Masters) - Bath University

Subjects offered:Maths, Geography+ 1 more

Maths
Geography
-Personal Statements-

“Hi! I'm Kate. I'm a mathematics student who strives to improve students confidence, enjoyment and ability in mathematics and geography.”

£24 /hr

Degree: Engineering (Masters) - Warwick University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“I am a first year engineering student at the University of Warwick, I enjoy maths and physics.”

### 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

What's the deal with Integration by Parts?

Differentiate ((x^2)+1)^2

Below is a question from the Edexcel Maths Core 1 textbook, Solve the equation x^2 + 8x + 10 = 0 using completing the square.

Rationalise the complex fraction: (8 + 6i)/(6 - 2i)

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