Question

p(q - r) + q(r - p) + r(p - q) using the algebric identies​

Answer 1

Answer :-

(pq−qr+pr)(pq+qr)−(pr+pq)(p+q−r)

=[p2 q 2 +pq 2 r−pq 2 r−q 2 r 2+p 2qr+pqr 2 ]−[p 2 r+pqr−pr 2 +p 2 q+pq 2 −pqr]

=p2q 2+pq 2 r−pq 2 r−q 2 r 2+p 2qr+pqr 2−p 2 r−pqr+pr 2−p 2 q−pq 2 +pqr

=p 2q 2−q 2 r 2 +p 2qr+pqr 2 −p 2 r+pr2 −p2q−pq2