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

7888 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What is the best way to solve simultaneous equations?


6y+2x^2=6 x=(y+1)^0.5 solve the simultaneous equations


On a packet of brown rice it says 'When 60g of rice is cooked, it will weigh 145g.' If Katy has 100g of brown rice, how much will it weigh when cooked?'


Expand 2x(x-3)


We're here to help

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

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning