How do you simplify $p(p-q) + q(q-r) + r(r-p)$ ?

Question

7306 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-04-13T11:12:34

There isn't much to simplify, but you can get rid of the brackets:

$=p^2-pq+q^2-qr+r^2-pr$

And maybe re-arrange:

$p^2+q^2+r^2-pq-pr-qr$

Doesn't look much simpler to me...

How do you simplify p(p-q) + q(q-r) + r(r-p)p(p-q) + q(q-r) + r(r-p)?