what f(x) for all positive integers x does f(x) = x(1-x)?

Question

the answers is
f(x) = x^2(1-x)^2

can someone explain why

Answer 1

the question is not clear

Answer 2

You need to check x for all positive values that is starting from 1 to infinity.Put in the value 1 f(1)=1(1-1)=0.Try the same thing for the answers where you get 0 that's the answer.If you get 0 in more then 1 answer try with 2 then with 3 and so on.The answer which matches with max. positive integers is your answer.

Answer 3

I don't understand the question, but all I can say is that all squares (x^2, (1-x)^2) are always positive. So all the values F(x) will be positive, if f(x) equals what the answer says,

Answer 4

It doesn't. Try substituting values for x - those two equations are obviously not equivalent for all positive integers.