Question

If x²(y -z) + y²(z - x) + z²(x - y) = N(x - y)(y - z)(z - x), then N must have the value _________.

Answer 1

hi friend,

N(x - y)(y - z)(z - x)

=N(xy-xz-y²+yz)(z-x)

=N(xyz-xz²-y²z+yz²-x²y+x²z+xy²-xyz)

=N(-[x²(y -z) + y²(z - x) + z²(x - y)]=x²(y -z) + y²(z - x) + z²(x - y)

→N=-1

I hope this will help u ;)