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

Related Maths A Level answers

All answers ▸

If I had an equation with both 'x' and 'y' present, how would I find the gradient?


What is the indefinite integral of cos^2x?


Simplify: (log(40) - log(20)) + log(3)


Express the following in partial fractions: (x^2+4x+10)/(x+3)(x+4)(x+5)