from here I foiled and let m = p(k) for
Okay, you want to prove that if P(k) is true then so is P(k+1).
No, you can't say this. You don't know it is true, this what you want to prove
What you can say is that
Now try to show that the right side is the same as . For example you can factor out of both terms.
from here I foiled and let m = p(k) for
I thought you assume P(k) to be true then show P(k+1) is true therefore P(k) is also true
I also can't see what the image is, even opening it it is too small for me. I can only read the title of it, I googled it but couldn't find the same image