set f = f(x,y,z) = (x^2 - y + 2z^3)^3
determine the coeffecients wwith which the following terms appear in F by using the multinomial theorem:
1) x^2 y^2
3) x^2 y z^3
4) y z^6
5) x y z
expres the following statements using quantifiers and usual mathematical symbols
1) the set of integers has no largest element
2) the differencee of two real numbers is a real number
i realised you got to find the coefficients, in the first one i can see x^2 but i cant see any y^2, but maybe it has to do with the ^3 outside of the bracket. the point i am stuck on is the multinomial theorem.
i have been researching a lot of websites and i dont understand the way they explain it, i can only find general rules which i dont get how to apply.
i think the answers has something in general to do with expanding the bracker. here is what i tried to prove i am not just being lazy
i went with: expanding it
x^6 + y^3 + 2z^9
and then take out
(X^4 + y + 2z^9) leaves x^2y^2 so the coefficient is (X^4 + y + 2z^9)?
youre awesome but what i dont get is how to use the multinomial when there are powers and numbers inside the bracket, i can do (x + y + z)^3 but i dont know what to do with powers inside, also i dont know what it means by terms, i know the nCr from the binomial and i know its about using factorial so that they add up to the n power (which is 3 in my question) but i dont know how to use it
also i dont get what you mean for i do 1 you do 2 what is the upiside down A ???