How do I expand brackets by multiplication?

It's worth remembering FOIL: First, Outside, Inside, Last.Say we have the following:(a+b)(c+d), where a,b,c and d are positive integers.Using FOIL, we have: (First) + (Outside) + (Inside) + (Last)  ac  +   ad    +  bc   +  bdExamples:Expand the following brackets:1. (2x+3)(4x+6) = (F) 8x(O) 12x + (I) 12x + (L) 18             = 8x+ 24x + 182. (6x-1)(2x2+4) = (6x)(2x2) + 4(6x) + (-1)(2x2) + (-1)(4)             = 12x+ 24x - 2x- 43. (x-1)(2x+4)(3x-6) (Note: For this example, first expand the first two brackets, then expand the result with the third bracket, as follows):= (2x2+2x-4)(3x-6)  (To expand this, multiply the first term in the 1st bracket by the 1st term and 2nd term in the 2nd, the 2nd term in the 1st by the 1st and 2nd term in the 2nd bracket, the 3rd term in the 1st bracket by the 1st and 2nd terms in the 2nd bracket, as follows):= 6x- 12x+ 6x- 12x - 12x + 24= 6x- 6x- 24x + 24                               

LD
Answered by Liam D. Maths tutor

6222 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What is the pythagoras theorem?


A group of 5 people order 2 8 inch pizzas, with heights 2cm and 1cm, and density 3/pi g/cm^3, and 5/pi g/cm^3 respectively. If they divide each pizza evenly, how much pizza, in grams, does each person eat? Use 1 inch = 2.5 cm.


Express the recurring decimal 0.21313... as a fraction.


Factorise the following- A) 4x+12xz. B) 3xy + 6y d) 4A^2B^2+ 8AB^2 +16AB^3


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