How do you expand (2x-1)(3x+4) using the FOIL method?

First, we must understand what the FOIL method is.

FOIL is an ancronym that we use to help us remember the steps when expanding brackets.

F - first 

O - outer

I - inner 

L- last 

Step 1: Multiply the FIRST terms in each bracket giving:

2x * 3x = 6x2

Step 2: Multiply the OUTER terms in each bracket giving:

2x * 4 = 8x

Step 3: Multiply the INNER terms in each bracket giving:

-1 * 3x = -3x

Step 4: Multiply the LAST terms in each bracket giving:

-1 * 4 = -4 

Step 5: Add all the terms together to give the expanded form of the equation giving:

6x + 8x + (-3x) + (-4) = 6x2 + 8x - 3x - 4

Giving: 

6x + 5x - 4    as your final answer ! 

JL
Answered by James L. Maths tutor

6222 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Given point A: (5,9), point B: (d,15) and the gradient of line AB is 3... what is the value of d?


What is the value of x if 2X+1: 3 = 5: 9?


Solve algebraically the simultaneous equations: 6x=5-2y 12.5=3x+3y


We have a parallelogram with sides of 8cm and 5cm and an angle of 140 degrees, calculate the length of two diagonals


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