i need help with a pre-calculus problem, i'm stuck on it.?

Question

the instructions are to find the differece quotient and simplify the answer.

here is the problem: f(x)=x^3, f(x+c)-f(x)÷c, c does not equal zero.

the instructions are to find the differece quotient and simplify the answer.

here is the problem: f(x)=x^3, f(x+c)-f(x)÷c, c does not equal zero.

please show your work and thanx.

Answer 1

I am assuming that you mean (f(x+c) - f(x)) / c

f(x+c) = x^3 + 3cx^2 + 3c^2x + c^3
f(x) = x ^ 3
f(x+c) - f(x) = 3c x^2 + 3c^2x + c^3

divide by c = 3x^2 + 3cx + c^2

Answer 2

is it 3x^2
i used this formula:
if x=Ct^n, then dx/dt=Cnt^(n-1)
but i might not know what i'm talking about