Proof involving Induction

Prove that for every integer n ≥ 1, we have

$$
\sum_{i=1}^ni^3=\left(\frac{n(n+1)}2\right)^2
$$

Solve using Mathematical Induction, include the Inductive Step

Base Case is that both the left and right side $=1$ when $n=1$.

and the Inductive Hypothesis is $1^3+2^3+\dots +k^3=\frac{\left( k(k+1)\right)^2}2$