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

3611 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Prove that an angle subtended by an arc is double at the centre then at the perimeter.


White paint costs £2.80 per litre and blue paint costs £3.50 per litre. White and blue paint are mixed in the ratio 3 : 2. How much does it cost to make 18 litres of this mixture?


Solve for x: 2x^2 = 5x + 12


Expand (1+2x)(4x+3)


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