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 + 6And 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...

CW
Answered by Cordelia W. Maths tutor

6076 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Expand and simplify fully 4(x - 2) - 2(3 - 5x)


For which values of x is x^2 - 5x + 6 < 0 true?


What is mathematics and why should I study it?


There are 300 students at a school who have been asked to attend assembly. 1/10 students are sat on chairs, 85% of students are sat on the floor, the rest do not attend assembly. How many students did not attend assembly?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning