Using the binomial theorem, find the coefficient of x^4*y^5 in (x-2y)^9.

The term containing x4y5 will be C(9, 5)x4(-2y)5 = (9!/(5!4!))x4(-2)5y5The coefficient of which will be 126-32=-4032

GH
Answered by George H. Maths tutor

3807 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The parametric equations of a curve are: x = cos2θ y = sinθcosθ. Find the cartesian form of the equation.


What is the equation of the normal line to the curve y = 3x^3 - 6x^2 at the point (1, 4)?


Consider the infinite series S=Σ(from n=0 to infinite) u(down n) where u(down n)=lim (from n π to (n+1) π) ((sin t)/t) dt. Explain why the series is alternating.


Find the equation of the tangent line to the graph of y=2x^4-7x^3+x^2+3x when x=5


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning