MYTUTOR SUBJECT ANSWERS

620 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

460 SUBJECT SPECIALISTS

£18 /hr

Sahil N.

Degree: Medicine (Bachelors) - Queen Mary, London ('13) University

Subjects offered:Maths, Chemistry+ 3 more

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

“About me: Hi there! I'm Sahil, a friendly and enthusiastic medical student at Barts and the London School of Medicine. Teaching has always been a wonderful passion of mine and I truly believe there is nothing more satisfying than help...”

Aisling R. A Level Maths tutor, A Level Chemistry tutor
£22 /hr

Aisling R.

Degree: Chemistry (Bachelors) - Bristol University

Subjects offered:Maths, Chemistry

Maths
Chemistry

“Top tutor from the renowned Russell university group, ready to help you improve your grades.”

£20 /hr

Sioned D.

Degree: Law (Bachelors) - University College London University

Subjects offered:Maths, History+ 4 more

Maths
History
English
Biology
.LNAT.
-Personal Statements-

“Hi! My name is Sioned, and I'm a final year law student at University College London (UCL). I can help with admissions tests for Law, general application guidance for applying to Law at University or for the dreaded (!) LNAT. I have a...”

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

Solve the two simultaneous equations: 2y + x = 8 [A] and 1 + y = 2x [B]

Expand and Simplify 3x(8y-2) - 4y(6x -3) + 2x = 0

A right-angled triangle has side lengths of 8.65cm and 10.15cm. What is the length of its hypotenuse?

Find the exact value of the gradient of the curve y=e^(2-x)ln(3x-2) at the point on the curve where x=2.

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