Question

Factorise (p-q)^3+(p-q)^2​

Answer 1

Answer:

If x + y + z = 0 ,

Then ,

x³ + y³ + z³ = 3xyz

Here ,

Let x = p - q ,

y = q - r ,

z = r - p ;

Now ,

x + y + z = p - q + q - r + r - p

x + y + z = 0

Therefore ,

x³ + y³ + z³ = 3xyz

( p - q )³ + ( q - r )³ + ( r - p )³

= 3( p - q )( q - r )( r - p )

I hope this helps you.