Question

the expression (p-q)^3 + (q-r)^3 + (r-p)^3 can.be factorise as.............

Answer 1

So,
X^3+y^3+z^3= 3xyz

Here,
Letx=p-q
Y=q-r
Z=r-p

Now

X+y+z=p-q+q-r+r-p
x+y+z=0

therefore

X^3+y^3+z^3=3xyz
( P - q)^3+(q-r)^3+(r-p) ^3

I hope this will help you