Question

3/4 x cube minus 1/2 y cube plus 1/2 x cube plus 3/4 y cube

Answer 1

Step-by-step explanation:

Given, x+2y+3z=0  and   x3+4y3+9z3=18xyz

      =>x+2y=−3z

also, =>2y+3z=−x

and   =>3z+x=−2y

Now,

xy(x+2y)2+yz(2y+3z)2+zx(3z+x)2

=xy(−3z)2+yz(−x)2+zx(−2y)2

=xy9z2+zyx2+zx4y2

=xyz9z3