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                               

Answered by Liam D. Maths tutor

5659 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Rationalise the denominator of 6/√3 and simplify your answer.


Make x the subject of the following formula: 2x-4=2y.


The formula to convert from degrees Fahrenheit to degrees Celsius is C=(F-32)*(5/9). If it is 32 degrees Celsius, what is the temperature in Fahrenheit?


Solve the simultaneous equations: (1) 4x + y = 7 and (2) x - 3y = 5


We're here to help

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