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

4793 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What is Pythagoras' theorem?


Solve the simultaneous equations “x^2+y^2=4” and “x=2-y”. What does this tell us about the circle centred on the origin, with radius 2, and the straight line with y-intercept 2 and gradient -1?


Nicky buys a blender. 20% VAT is added to the price of the blender so Nicky has to pay £180. What is the price of the blender with no VAT added?


Solve 9x +1> 2x +3


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences