Question

simplify (x^3 - y^3)^3 + (y^3 - z^3)^3 + (z^3 - x^3)^3/(x - y)^3 + (y - z)^3 + (z - x)^3

Answer 1

Answer:

Step-by-step explanation:

ommawgod

Answer 2

Step-by-step explanation:

(x^3 - y^3)^3 + (y^3 - z^3)^3 + (z^3 - x^3)^3/(x - y)^3 + (y - z)^3 + (z - x)^3Given, x+2y+3z=0 and x

3

+4y

3

+9z

3

=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

=

xy

9z

2

+

zy

x

2

+

zx

4y

2

9z

2

+

zy

x

2

+

zx

4y

2

=

xyz

9z

3

+

xyz

x

3

+

xyz

4y

3

=

xyz

9z

3

+x

3

+4y

3

=

xyz

18xyz

=18