+0  
 
0
84
1
avatar

When (x + 2y - z)^8 is expanded, and the like terms are combined, what is the coefficient of the term x^3*y^3*z^2?

 Jun 30, 2022
 #1
avatar+124676 
+1

[  ( x + 2y)  -  z)^8

 

The constant will be from  the  expansion of

 

C( 8 , 2) [(x + 2y)  ]^6 * z^2 =

 

C(8,2) * C( 6,3) (x^3) (2y)^3 * z^2 =

 

28 * 20 * 2^3 * x^3 * y^3 * z^2  = 

 

28 * 20 * 8 * x^3 y^3 z^2  =

 

4480   x^3 y^3 z^2

 

 

cool cool cool

 Jun 30, 2022

28 Online Users

avatar