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

Rewrite (x − 4)(2x + 3y)2 as (x - 4)(2x + 3y)(2x + 3y)
Multiply out the first two brackets to give -(2x2 + 3xy - 8x2 - 12y)(2x + 3y)
Multiply out the remaining brackets4x3 + 6x2y - 16x2 - 24xy + 24xy + 6x2y + 9xy2 - 24xy - 36y2
Simply what's left...4x2 + 12x2y + 9xy2 – 16x2 – 48xy – 36y2
Therefore...(x − 4)(2x + 3y)2 = 4x2 + 12x2y + 9xy2 – 16x2 – 48xy – 36y2

HK
Answered by Henry K. Maths tutor

14503 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

ABC is a right angled triangle. D is the point on AB such that AD = 3DB. AC = 2DB and angle A = 90 degrees. Show that sinC = k/√20 where k is an integer. Find the value of k


x – 7x + 10 = 0


Solve 3x + 10 = 10(2x-5)


Solve 3x^2 - 4x - 6 = 0.


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