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

4640 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do tree diagrams work? Consider: A bag contains 5 red counters and 3 blue counters. James draws a counter from the bag at random and keeps it. James then draws a second counter at random. What is the probability that James takes two red counters?


Solve 10(x + 2) – (2x – 9) = 30


Solve the Simultaneous equations. 3x+5y=22 4x-5y=6


Why do we bother using surds?


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