The way to binomial theorem

what's the binomial expansion of (2x-3y) to the third power??

(1)*(2x)^3*(-3y)^0 + (3)*(2x)^2*(-3y)^1 + (3)*(2x)^1*(-3y)^2 + (1)*(2x)^0*(-3y)^3 =

8x^3 - 36(x^2)(y) + 54(x)(y^2) - 27(y^3)

Note that the sum of the powers in each term always = the degree of the expansion (3, in our case)

Also, the coefficients in the first expression come from the row number in Pascal's Triangle that equals the degree of the expansion - assuming that the "1" at the top of the triangle is Row "0" (We can also find them through a combinatoric formula that I'm too lazy to summon!!)

Hope this helps and I pray I got all my parenthesis typed in correctly!!!

FYI......here's a site that will calculate a binomial expansion for you......I think it gives some other info too, but I didn't look closely!!

http://calculator.tutorvista.com/math/597/binomial-expansion-calculator.html

(I meant to include this with my previous answer, but I forgot!!!)