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

Answered by George H. Maths tutor

2938 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Express (5x + 4)/(x +2)(x - 1) in partial fractions.


Differentiate with respect to x: y = xln[2x]


Show that the cubic function f(x) = x^3 - 7x - 6 has a root x = -1 and hence factorise it fully.


How do I find the equation of the normal to the curve y=x^2 at the point (x1,y1)? Where x1=2 and y1=4 .


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences