MYTUTOR SUBJECT ANSWERS

319 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, ...

1 year ago

Answered by Cordelia, a GCSE Maths tutor with MyTutor

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

327 SUBJECT SPECIALISTS

£18 /hr

Ana G.

Degree: Psychology (Bachelors) - Durham University

Subjects offered: Maths, Spanish+ 4 more

Maths
Spanish
Environmental Studies
English Literature
Chemistry
Biology

“I study Psychology at Durham University and have just completed the International Baccalaurete programme. I have always unashamadedly loved learning, because I was lucky enough to have teachers who made the subjects fun and captivatin...”

MyTutor guarantee

£18 /hr

Abigail G.

Degree: Zoology (Bachelors) - Exeter University

Subjects offered: Maths, Geography+ 3 more

Maths
Geography
Chemistry
Biology
-Personal Statements-

“Hi I'm Abi, a 1st year MSci Zoology student at the University of Exeter, Penryn Campus. I am absolutely loving my degree and am learning new and exiting things every second! I thoroughly enjoy anything biological related and am able t...”

£22 /hr

Emily A.

Degree: Medicine (Bachelors) - Bristol University

Subjects offered: Maths, Physics+ 2 more

Maths
Physics
Chemistry
Biology

“About MeMy name is Emily and I am currently a Medical Student at Bristol University. I chose this degree because I have a real love for science but also enjoying helping and interacting with people. I would love to help you reach you...”

About the author

Cordelia W.

Currently unavailable: for regular students

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

Simplify the expression: 3x + 2y -7x + c + y

13 - 3 × 4+2 Simple question that lots of people get wrong

What's the difference between a histogram and a bar chart?

Given that your grade for your computing is based on 5 coursework that weigh differently, and you know the results of 4: 80, 75, 50 and 90 which weighs 10%, 20%, 45% and 5%. What grade do you need in your last coursework to achieve at least a B (70%)?

View GCSE Maths tutors

Cookies:

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

mtw:mercury1:status:ok