discrete mathematics - Prove by induction that $1^3 + 2^3 + 3^3 + .....+ n^3= frac{n^2(n+1)^2}{4}$ for all $ngeq1$.

Use mathematical induction to prove that $1^3 + 2^3 + 3^3 + .....+ n^3= \frac{n^2(n+1)^2}{4}$ for all $n\geq1$.

Can anyone explain? Because I have no clue where to begin. I mean, I can show that $1^3+ 2^3 +...+ (k+1)^3=\frac{(k+1)^2(k+2)^2}{4}$, but then I don't know where to go. I need further explanation to prove it.

thank you so much for help

Sincerely