can anyone help with this induction problem:
n³ = ¼ n² (n+1)²
i'm having trouble proving true for n = k+1
i need to prove that (k+1)³ = ¼ (k+1)² (k+2)² (i hope this is right)
by assumption the LHS should be ¼ k² (k+1)² (k+1) is it not?
can someone help me as to solving this?