Question

Factorise:(p–q)3+(q–r)3+(r–p)3V

Answer 1

Answer:

3q^2( p-r ) + 3p^2( r-q ) + 3r^2( q-p )

Step-by-step explanation:

(p-q)^3 + (q-r)^3 + (r-p)^3

=p^3 - q^3 +3pq^2 - 3qp^2 + q^3 - r^3 +3qr^2 - 3rq^2 + r^3 - p^3 +3rp^2 - 3pr^2 ;

=3q^2( p-r ) + 3p^2( r-q ) + 3r^2( q-p )