Expand and simplify (x − 4)(2x + 3y)^2

following BIDMAS we start with the second expression by squaring it, i.e. (x-4)(2x + 3y)(2x + 3y). It is important we do it in the right order, otherwise we could get a wrong answer. We use the FOIL (First Outside Inside Last) method to expand(2x + 3y)(2x + 3y)=(4x^2+6xy+6xy+9y^2) which simplifies to (4x^2+12xy+9y^2)
we then take that expression and multiply by (x-4) taking care of the signs and powers, and extending our FOIL method to ensure each term in the first bracket is multiplied by each term in the second.(x-4)(4x^2+12xy+9y^2)= (4x^3 + 12x^2y + 9xy^2 - 16x^2 - 48xy - 36y^2)

EA
Answered by Elsie A. Maths tutor

4744 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Simplify: 2x + 6y + 2y - x


An area of a garden needs to be tiled. It consists of a square area of 10m by 10m, with an outdoor pool in the middle of radius 3m. The tiles to be used are 50cm by 50cm, and cost 50p per tile. Find out how much it will cost to tile the area.


What is the quadratic formula and how do I use it?


The first 4 terms of a different sequence are: 9, 13, 17, 21. Find an expression for the nth term of the sequence.


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