SOLUTION: Use the binomial theorem to expand: {{{(2x - y)^6}}} I've never done this with two variables. Can I use pascal's triangle? If so, the integers are: 1, 6, 15, 20, 15, 6,

Algebra ->  Square-cubic-other-roots -> SOLUTION: Use the binomial theorem to expand: {{{(2x - y)^6}}} I've never done this with two variables. Can I use pascal's triangle? If so, the integers are: 1, 6, 15, 20, 15, 6,      Log On


   



Question 375941: Use the binomial theorem to expand:
%282x+-+y%29%5E6
I've never done this with two variables. Can I use pascal's triangle?
If so, the integers are:
1, 6, 15, 20, 15, 6, 1
however I'm not sure how to handle the coefficient. Any help you can provide is greatly appreciated!

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
Pascal's provides the coefficients

1[(2x)^6(-y)^0] + 6[(2x)^5(-y)^1] + 15[(2x)^4(-y)^2] + 20[(2x)^3(-y)^3] + 15[(2x)^2(-y)^4 + ...
___ just follow the pattern to complete the expansion

the sum of the exponents in a term is equal to the power of the binomial