Expand and simplify (x-2)(2x+3)(x+1)

To simply this expression means to write this same expression in its lowest terms. The first step we need to do is expand two of these brackets, we will start with the bracket in the middle and the last bracket. Doing this gives, (x-2)(2x+3)(x+1)=(x-2)(2x^2+2x+3x+3)we can collect like terms to simplify the second bracket: (x-2)(2x^2+2x+3x+3)=(x-2)(2x^2+5x+3). Now we can expand these two brackets, this gives (x-2)(2x^2+5x+3)=2x^3+5x^2+3x-4x^2-10x-6We can now simplify this expression by collecting like terms: 2x^3+5x^2+3x-4x^2-10x-6=2x^3+x^2-7x-6.Therefore, through expanding and collecting like terms we can see that (x-2)(2x+3)(x+1)=2x^3+x^2-7x-6.

Answered by Shayma M. Maths tutor

3612 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Edexcel November 2016 1H Maths. Q27


Expand these brackets 3x(x - 2)


Solve: 3^(x^2-5x+2)=9^(x+1)


How do I solve simultaneous equations when one is quadratic? For example 3x^2 -2y = 19, 6x-y-14=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