How would I expand 3 brackets, e.g. (x + 3)(x + 4)(x + 2)?

Expanding 3 brackets is very much the same method as expanding 2. In the example you gave, to start you would expand the first two brackets out using the FOIL method (firsts, outsides, insides and leftovers), giving (x2+ 4x +3x +12). You would show this in your line of working as (x2+ 4x + 3x +12)(x + 2). Next you simplify the expansion you have just completed so it makes it easier for you to multiply with the 3rd bracket: (x2+ 7x +12)(x + 2). Then expand the brackets, again using the FOIL method to give: (x3+ 2x2 + 7x2+ 12x +14x + 24), simplifying to give the answer of: (x3+ 9x2 + 26x +24)

EW
Answered by Emma W. Maths tutor

4536 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do I subtract one fraction from another?


Prove that the difference between the squares of two consecutive odd numbers is a multiple of 8.


Solve the simultaneous equations 5x + y = 21 and x - 3y = 9


How do you write 36 as a product of its prime factors?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences