Prove that, if 1 + 3x^2 + x^3 < (1+x)^3, then x>0

(1+x)^3 = x^3 + 3x^2 + 3x + 1 (Can be calculated straight away by binomial method or by multiplying brackets individually)
if (1+x)^3 > 1 + 3x^2 + x^3then: x^3 + 3x^2 + 3x + 1 > 1 + 3x^2 + x^3 3x > 0 x > 0

VT
Answered by Vigneswaran T. Maths tutor

14812 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Why do we get cos(x) when we differentiate sin(x)?


Evaluate the integral (write on whiteboard, too complicated to write here)


Prove the identity (sin2x)/(1+(tanx)^2) = 2sinx(cosx)^3


Solve the equation 2x^3 - 5x^2 - 4x + 3 = 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