How to factorise a simple linear equation such as '9Y + 6'

Using the Example 9Y + 6


Factorising means to remove a common factor from both the ‘9Y’ term and the ‘6’ – this common factor will then be placed outside the brackets.


For us to complete this question, we must first find the largest number that can divide into both coefficients 9 and 6 – this of course being 3 because 9Y and 6 can be divided by 3 to give whole integer answers.


9Y / 3 = 3Y

6/3 = 2


So having found our largest common factor, and dividing our coefficients our factorisation becomes: 3(3Y + 2). The bracket represents our division sum answers and the 3 outside our common factor.


For practice have a try at these questions:

1)   6X + 12

2)   5Y + 15

3)   2X + 36

4)   4Y – 24 

Solomon L. GCSE Maths tutor, A Level Maths tutor, A Level Further Mat...

2 years ago

Answered by Solomon, a GCSE Maths tutor with MyTutor

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


£18 /hr

Emma D.

Degree: Philosophy and Psychology (Bachelors) - Durham University

Subjects offered: Maths, Philosophy and Ethics+ 2 more

Philosophy and Ethics
-Personal Statements-

“First year Durham University student with exepertise in Maths, Biology and Religious Studies.  Friendly, dedicated and personable student who has prior experience working as a tutor and advisor. ”

MyTutor guarantee

£18 /hr

Philip D.

Degree: Mathematics (Bachelors) - Exeter University

Subjects offered: Maths, Further Mathematics

Further Mathematics

“Hey, I'm Phil, a mathematics student at the University of Exeter. Unsurprisingly maths has always been a subject that has fascinated me given its intrinsic and logical nature, and I hope that I can help develop your understanding of t...”

£18 /hr

Laura C.

Degree: Chemistry (Masters) - Durham University

Subjects offered: Maths, Science+ 3 more

-Personal Statements-

“Hello, I'm Laura. I know how hard GCSEs and A Levels are and the stress they can cause. I also know how beneficial having a friendly undestanding person to help can be. For me, that was my sister. For you, I hope that can be me.  I'm...”

MyTutor guarantee

About the author

£18 /hr

Solomon L.

Degree: Mathematics (Bachelors) - Leeds University

Subjects offered: Maths, Further Mathematics

Further Mathematics

“Currently studying at Leeds university, ready to help you improve your grades in Maths and Chemistry GCSE! ”

You may also like...

Other GCSE Maths questions

Can you explain the formula method for solving quadratic equations?

What are the differences between decimal points and significant figures?

if x^2 + 9x + 20 = 0, what are the possible values of x?

Solve the simultaneous equations (1) 2a - 5b = 11 (2) 3a + 2b = 7

View GCSE Maths tutors


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