SOLUTION: Find the coefficient of the term x球⁶ in the binomial expansion of the expression (3x - 2y)⁸ A.) 81,648 B.) 16,128 C.) -81,648 D.) -16,128

Algebra ->  Test -> SOLUTION: Find the coefficient of the term x球⁶ in the binomial expansion of the expression (3x - 2y)⁸ A.) 81,648 B.) 16,128 C.) -81,648 D.) -16,128      Log On


   



Question 1081365: Find the coefficient of the term x球⁶ in the binomial expansion of the expression (3x - 2y)⁸
A.) 81,648
B.) 16,128
C.) -81,648
D.) -16,128

Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This will be the 2nd term where (3x)^2 and (-2y)^6 have a leading coefficient of 8C2=28
28*9*+64=16,128
B

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Find the coefficient of the term x球⁶ in the binomial expansion of the expression (3x - 2y)⁸
A.) 81,648
B.) 16,128
C.) -81,648
D.) -16,128
The 7th term contains x%5E2y%5E6 and also contains the coefficient: highlight_green%28matrix%281%2C3%2C+%2216%2C128%22%2C+%22%28CHOICE%22%2C+%22B.%29%22%29%29