Question

If p+q=1+p.q show p³+q³=1+p³q³​

Answer 1

As the given equation is p+q=1+p.q
=>p-p.q=1-q
=>p[1-q]=1-q
=>p=1.
So q can be any real number
From p^3 + q^3 = 1 + p^3.q^3
=>1+q^3 = 1 + [1].q^3. [ as p is 1]
=>1+q^3 = 1 + q^3.......


Hope this helps