MYTUTOR SUBJECT ANSWERS

690 views

How do I expand out a pair of brackets?

Expanding something out like (x+2)(x+3) crops up everywhere in maths. Therefore it's a very important skill to develop.

There are many different ways of looking at it - smily faces, rainbows, claws - to name a few, and everyone has their favourite. However, all of them essential boil down to multipling everything in the first bracket with everything in the second bracket. 

A good first way to look at it is to expand the first bracket to begin with. Taking our example at the top, we get (x+2)(x+3) = x(x+3) + 2(x+3). 

We can then expand these as individual brackets: x2 + 3x + 2x + 6.

Finally, we can collect like terms to simplify: x2 + 5x + 6

And we're done. With practise, this becomes one of those things you do so often, you almost stop thinking about it. Until someone asks you what your favourite method is and then the arguments begin...

Cordelia W. A Level Maths tutor, A Level Further Mathematics  tutor, ...

2 years ago

Answered by Cordelia, a GCSE Maths tutor with MyTutor


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

535 SUBJECT SPECIALISTS

£20 /hr

Jay G.

Degree: Biological Sciences (Biochemistry) (Bachelors) - Edinburgh University

Subjects offered:Maths, Mandarin+ 2 more

Maths
Mandarin
Chemistry
Biology

“I am here not only to help you get better at exams, but to help you enjoy your subject more ”

£18 /hr

Luke B.

Degree: Mathematics (Masters) - Sheffield University

Subjects offered:Maths, Further Mathematics + 3 more

Maths
Further Mathematics
.STEP.
.MAT.
-Personal Statements-

“I am a fun, engaging and qualified tutor. I'd love to help you with whatever you need, giving you the support you need to be the best you can be!”

£24 /hr

Emma J.

Degree: Medicine (Bachelors) - Cambridge University

Subjects offered:Maths, Chemistry+ 4 more

Maths
Chemistry
Biology
-Personal Statements-
-Oxbridge Preparation-
-Medical School Preparation-

“Hi! I'm a student on a gap year about to study Medicine at Cambridge. I love the sciences, and hopefully can help you get the grade you want!”

About the author

£20 /hr

Cordelia W.

Degree: Mathematical Science (Masters) - Durham University

Subjects offered:Maths, Physics+ 1 more

Maths
Physics
Further Mathematics

“I LOVE maths and believe I can pass on my love of the subject. I have been teaching maths and physics for years. I taught myself maths and physics, I helped my friends understand both subjects, I went on toteach a whole secondary scho...”

You may also like...

Posts by Cordelia

How do I expand out a pair of brackets?

How do I simplify surds?

How do stars like ours form and die?

How does proof by induction work?

Other GCSE Maths questions

Factorise x^2+7x+10 to find the roots of the equatino x^2+7x+10=0

Expand and simplify (6x - 2y)(3x - 7y)

(2x + 3y)^2 – (2x – 3y)^2 = 360 show that xy is a multiple of 5

Expand and simplify (x+12)(x-3)

View GCSE 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

mtw:mercury1:status:ok