Solve (x-y)^(2) (y-z)^(2) (z-x)^(2)

Question

Simplify the expression

- 6 x^{2} y^{2} z^{2} + 2 x^{3} y^{2} z + x^{4} y^{2} + 2 x^{2} y z^{3} + 2 x^{3} y z^{2} - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{4} z^{2} + 2 x y^{3} z^{2} + 2 x^{2} y^{3} z - 2 x^{3} y^{3} + 2 x y^{2} z^{3} - 2 x y z^{4} + y^{4} z^{2} - 2 y^{4} z x + y^{4} x^{2} - 2 y^{3} z^{3} + y^{2} z^{4}

Evaluate

(x - y)^{2} (y - z)^{2} (z - x)^{2}

Use (a - b)^{2} = a^{2} - 2 ab + b^{2} to expand the expression

(x^{2} - 2 x y + y^{2}) (y - z)^{2} (z - x)^{2}

Use (a - b)^{2} = a^{2} - 2 ab + b^{2} to expand the expression

(x^{2} - 2 x y + y^{2}) (y^{2} - 2 yz + z^{2}) (z - x)^{2}

Use (a - b)^{2} = a^{2} - 2 ab + b^{2} to expand the expression

(x^{2} - 2 x y + y^{2}) (y^{2} - 2 yz + z^{2}) (z^{2} - 2 z x + x^{2})

Multiply the terms

More Steps

(x^{2} y^{2} - 2 x^{2} yz + x^{2} z^{2} - 2 x y^{3} + 4 x y^{2} z - 2 x y z^{2} + y^{4} - 2 y^{3} z + y^{2} z^{2}) (z^{2} - 2 z x + x^{2})

Apply the distributive property

x^{2} y^{2} z^{2} - x^{2} y^{2} \times 2 z x + x^{2} y^{2} x^{2} - 2 x^{2} yz \times z^{2} - (- 2 x^{2} yz \times 2 z x) - 2 x^{2} yz x^{2} + x^{2} z^{2} \times z^{2} - x^{2} z^{2} \times 2 z x + x^{2} z^{2} x^{2} - 2 x y^{3} z^{2} - (- 2 x y^{3} \times 2 z x) - 2 x y^{3} x^{2} + 4 x y^{2} z \times z^{2} - 4 x y^{2} z \times 2 z x + 4 x y^{2} z x^{2} - 2 x y z^{2} \times z^{2} - (- 2 x y z^{2} \times 2 z x) - 2 x y z^{2} x^{2} + y^{4} z^{2} - y^{4} \times 2 z x + y^{4} x^{2} - 2 y^{3} z \times z^{2} - (- 2 y^{3} z \times 2 z x) - 2 y^{3} z x^{2} + y^{2} z^{2} \times z^{2} - y^{2} z^{2} \times 2 z x + y^{2} z^{2} x^{2}

Multiply the terms

More Steps

x^{2} y^{2} z^{2} - 2 x^{3} y^{2} z + x^{2} y^{2} x^{2} - 2 x^{2} yz \times z^{2} - (- 2 x^{2} yz \times 2 z x) - 2 x^{2} yz x^{2} + x^{2} z^{2} \times z^{2} - x^{2} z^{2} \times 2 z x + x^{2} z^{2} x^{2} - 2 x y^{3} z^{2} - (- 2 x y^{3} \times 2 z x) - 2 x y^{3} x^{2} + 4 x y^{2} z \times z^{2} - 4 x y^{2} z \times 2 z x + 4 x y^{2} z x^{2} - 2 x y z^{2} \times z^{2} - (- 2 x y z^{2} \times 2 z x) - 2 x y z^{2} x^{2} + y^{4} z^{2} - y^{4} \times 2 z x + y^{4} x^{2} - 2 y^{3} z \times z^{2} - (- 2 y^{3} z \times 2 z x) - 2 y^{3} z x^{2} + y^{2} z^{2} \times z^{2} - y^{2} z^{2} \times 2 z x + y^{2} z^{2} x^{2}

Multiply the terms

More Steps

x^{2} y^{2} z^{2} - 2 x^{3} y^{2} z + x^{4} y^{2} - 2 x^{2} yz \times z^{2} - (- 2 x^{2} yz \times 2 z x) - 2 x^{2} yz x^{2} + x^{2} z^{2} \times z^{2} - x^{2} z^{2} \times 2 z x + x^{2} z^{2} x^{2} - 2 x y^{3} z^{2} - (- 2 x y^{3} \times 2 z x) - 2 x y^{3} x^{2} + 4 x y^{2} z \times z^{2} - 4 x y^{2} z \times 2 z x + 4 x y^{2} z x^{2} - 2 x y z^{2} \times z^{2} - (- 2 x y z^{2} \times 2 z x) - 2 x y z^{2} x^{2} + y^{4} z^{2} - y^{4} \times 2 z x + y^{4} x^{2} - 2 y^{3} z \times z^{2} - (- 2 y^{3} z \times 2 z x) - 2 y^{3} z x^{2} + y^{2} z^{2} \times z^{2} - y^{2} z^{2} \times 2 z x + y^{2} z^{2} x^{2}

Multiply the terms

More Steps

x^{2} y^{2} z^{2} - 2 x^{3} y^{2} z + x^{4} y^{2} - 2 x^{2} y z^{3} - (- 2 x^{2} yz \times 2 z x) - 2 x^{2} yz x^{2} + x^{2} z^{2} \times z^{2} - x^{2} z^{2} \times 2 z x + x^{2} z^{2} x^{2} - 2 x y^{3} z^{2} - (- 2 x y^{3} \times 2 z x) - 2 x y^{3} x^{2} + 4 x y^{2} z \times z^{2} - 4 x y^{2} z \times 2 z x + 4 x y^{2} z x^{2} - 2 x y z^{2} \times z^{2} - (- 2 x y z^{2} \times 2 z x) - 2 x y z^{2} x^{2} + y^{4} z^{2} - y^{4} \times 2 z x + y^{4} x^{2} - 2 y^{3} z \times z^{2} - (- 2 y^{3} z \times 2 z x) - 2 y^{3} z x^{2} + y^{2} z^{2} \times z^{2} - y^{2} z^{2} \times 2 z x + y^{2} z^{2} x^{2}

Multiply the terms

More Steps

x^{2} y^{2} z^{2} - 2 x^{3} y^{2} z + x^{4} y^{2} - 2 x^{2} y z^{3} - (- 4 x^{3} y z^{2}) - 2 x^{2} yz x^{2} + x^{2} z^{2} \times z^{2} - x^{2} z^{2} \times 2 z x + x^{2} z^{2} x^{2} - 2 x y^{3} z^{2} - (- 2 x y^{3} \times 2 z x) - 2 x y^{3} x^{2} + 4 x y^{2} z \times z^{2} - 4 x y^{2} z \times 2 z x + 4 x y^{2} z x^{2} - 2 x y z^{2} \times z^{2} - (- 2 x y z^{2} \times 2 z x) - 2 x y z^{2} x^{2} + y^{4} z^{2} - y^{4} \times 2 z x + y^{4} x^{2} - 2 y^{3} z \times z^{2} - (- 2 y^{3} z \times 2 z x) - 2 y^{3} z x^{2} + y^{2} z^{2} \times z^{2} - y^{2} z^{2} \times 2 z x + y^{2} z^{2} x^{2}

Multiply the terms

More Steps

x^{2} y^{2} z^{2} - 2 x^{3} y^{2} z + x^{4} y^{2} - 2 x^{2} y z^{3} - (- 4 x^{3} y z^{2}) - 2 x^{4} yz + x^{2} z^{2} \times z^{2} - x^{2} z^{2} \times 2 z x + x^{2} z^{2} x^{2} - 2 x y^{3} z^{2} - (- 2 x y^{3} \times 2 z x) - 2 x y^{3} x^{2} + 4 x y^{2} z \times z^{2} - 4 x y^{2} z \times 2 z x + 4 x y^{2} z x^{2} - 2 x y z^{2} \times z^{2} - (- 2 x y z^{2} \times 2 z x) - 2 x y z^{2} x^{2} + y^{4} z^{2} - y^{4} \times 2 z x + y^{4} x^{2} - 2 y^{3} z \times z^{2} - (- 2 y^{3} z \times 2 z x) - 2 y^{3} z x^{2} + y^{2} z^{2} \times z^{2} - y^{2} z^{2} \times 2 z x + y^{2} z^{2} x^{2}

Multiply the terms

More Steps

x^{2} y^{2} z^{2} - 2 x^{3} y^{2} z + x^{4} y^{2} - 2 x^{2} y z^{3} - (- 4 x^{3} y z^{2}) - 2 x^{4} yz + x^{2} z^{4} - x^{2} z^{2} \times 2 z x + x^{2} z^{2} x^{2} - 2 x y^{3} z^{2} - (- 2 x y^{3} \times 2 z x) - 2 x y^{3} x^{2} + 4 x y^{2} z \times z^{2} - 4 x y^{2} z \times 2 z x + 4 x y^{2} z x^{2} - 2 x y z^{2} \times z^{2} - (- 2 x y z^{2} \times 2 z x) - 2 x y z^{2} x^{2} + y^{4} z^{2} - y^{4} \times 2 z x + y^{4} x^{2} - 2 y^{3} z \times z^{2} - (- 2 y^{3} z \times 2 z x) - 2 y^{3} z x^{2} + y^{2} z^{2} \times z^{2} - y^{2} z^{2} \times 2 z x + y^{2} z^{2} x^{2}

Multiply the terms

More Steps

x^{2} y^{2} z^{2} - 2 x^{3} y^{2} z + x^{4} y^{2} - 2 x^{2} y z^{3} - (- 4 x^{3} y z^{2}) - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{2} z^{2} x^{2} - 2 x y^{3} z^{2} - (- 2 x y^{3} \times 2 z x) - 2 x y^{3} x^{2} + 4 x y^{2} z \times z^{2} - 4 x y^{2} z \times 2 z x + 4 x y^{2} z x^{2} - 2 x y z^{2} \times z^{2} - (- 2 x y z^{2} \times 2 z x) - 2 x y z^{2} x^{2} + y^{4} z^{2} - y^{4} \times 2 z x + y^{4} x^{2} - 2 y^{3} z \times z^{2} - (- 2 y^{3} z \times 2 z x) - 2 y^{3} z x^{2} + y^{2} z^{2} \times z^{2} - y^{2} z^{2} \times 2 z x + y^{2} z^{2} x^{2}

Multiply the terms

More Steps

x^{2} y^{2} z^{2} - 2 x^{3} y^{2} z + x^{4} y^{2} - 2 x^{2} y z^{3} - (- 4 x^{3} y z^{2}) - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{4} z^{2} - 2 x y^{3} z^{2} - (- 2 x y^{3} \times 2 z x) - 2 x y^{3} x^{2} + 4 x y^{2} z \times z^{2} - 4 x y^{2} z \times 2 z x + 4 x y^{2} z x^{2} - 2 x y z^{2} \times z^{2} - (- 2 x y z^{2} \times 2 z x) - 2 x y z^{2} x^{2} + y^{4} z^{2} - y^{4} \times 2 z x + y^{4} x^{2} - 2 y^{3} z \times z^{2} - (- 2 y^{3} z \times 2 z x) - 2 y^{3} z x^{2} + y^{2} z^{2} \times z^{2} - y^{2} z^{2} \times 2 z x + y^{2} z^{2} x^{2}

Multiply the terms

More Steps

x^{2} y^{2} z^{2} - 2 x^{3} y^{2} z + x^{4} y^{2} - 2 x^{2} y z^{3} - (- 4 x^{3} y z^{2}) - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{4} z^{2} - 2 x y^{3} z^{2} - (- 4 x^{2} y^{3} z) - 2 x y^{3} x^{2} + 4 x y^{2} z \times z^{2} - 4 x y^{2} z \times 2 z x + 4 x y^{2} z x^{2} - 2 x y z^{2} \times z^{2} - (- 2 x y z^{2} \times 2 z x) - 2 x y z^{2} x^{2} + y^{4} z^{2} - y^{4} \times 2 z x + y^{4} x^{2} - 2 y^{3} z \times z^{2} - (- 2 y^{3} z \times 2 z x) - 2 y^{3} z x^{2} + y^{2} z^{2} \times z^{2} - y^{2} z^{2} \times 2 z x + y^{2} z^{2} x^{2}

Multiply the terms

More Steps

x^{2} y^{2} z^{2} - 2 x^{3} y^{2} z + x^{4} y^{2} - 2 x^{2} y z^{3} - (- 4 x^{3} y z^{2}) - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{4} z^{2} - 2 x y^{3} z^{2} - (- 4 x^{2} y^{3} z) - 2 x^{3} y^{3} + 4 x y^{2} z \times z^{2} - 4 x y^{2} z \times 2 z x + 4 x y^{2} z x^{2} - 2 x y z^{2} \times z^{2} - (- 2 x y z^{2} \times 2 z x) - 2 x y z^{2} x^{2} + y^{4} z^{2} - y^{4} \times 2 z x + y^{4} x^{2} - 2 y^{3} z \times z^{2} - (- 2 y^{3} z \times 2 z x) - 2 y^{3} z x^{2} + y^{2} z^{2} \times z^{2} - y^{2} z^{2} \times 2 z x + y^{2} z^{2} x^{2}

Multiply the terms

More Steps

x^{2} y^{2} z^{2} - 2 x^{3} y^{2} z + x^{4} y^{2} - 2 x^{2} y z^{3} - (- 4 x^{3} y z^{2}) - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{4} z^{2} - 2 x y^{3} z^{2} - (- 4 x^{2} y^{3} z) - 2 x^{3} y^{3} + 4 x y^{2} z^{3} - 4 x y^{2} z \times 2 z x + 4 x y^{2} z x^{2} - 2 x y z^{2} \times z^{2} - (- 2 x y z^{2} \times 2 z x) - 2 x y z^{2} x^{2} + y^{4} z^{2} - y^{4} \times 2 z x + y^{4} x^{2} - 2 y^{3} z \times z^{2} - (- 2 y^{3} z \times 2 z x) - 2 y^{3} z x^{2} + y^{2} z^{2} \times z^{2} - y^{2} z^{2} \times 2 z x + y^{2} z^{2} x^{2}

Multiply the terms

More Steps

x^{2} y^{2} z^{2} - 2 x^{3} y^{2} z + x^{4} y^{2} - 2 x^{2} y z^{3} - (- 4 x^{3} y z^{2}) - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{4} z^{2} - 2 x y^{3} z^{2} - (- 4 x^{2} y^{3} z) - 2 x^{3} y^{3} + 4 x y^{2} z^{3} - 8 x^{2} y^{2} z^{2} + 4 x y^{2} z x^{2} - 2 x y z^{2} \times z^{2} - (- 2 x y z^{2} \times 2 z x) - 2 x y z^{2} x^{2} + y^{4} z^{2} - y^{4} \times 2 z x + y^{4} x^{2} - 2 y^{3} z \times z^{2} - (- 2 y^{3} z \times 2 z x) - 2 y^{3} z x^{2} + y^{2} z^{2} \times z^{2} - y^{2} z^{2} \times 2 z x + y^{2} z^{2} x^{2}

Multiply the terms

More Steps

x^{2} y^{2} z^{2} - 2 x^{3} y^{2} z + x^{4} y^{2} - 2 x^{2} y z^{3} - (- 4 x^{3} y z^{2}) - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{4} z^{2} - 2 x y^{3} z^{2} - (- 4 x^{2} y^{3} z) - 2 x^{3} y^{3} + 4 x y^{2} z^{3} - 8 x^{2} y^{2} z^{2} + 4 x^{3} y^{2} z - 2 x y z^{2} \times z^{2} - (- 2 x y z^{2} \times 2 z x) - 2 x y z^{2} x^{2} + y^{4} z^{2} - y^{4} \times 2 z x + y^{4} x^{2} - 2 y^{3} z \times z^{2} - (- 2 y^{3} z \times 2 z x) - 2 y^{3} z x^{2} + y^{2} z^{2} \times z^{2} - y^{2} z^{2} \times 2 z x + y^{2} z^{2} x^{2}

Multiply the terms

More Steps

x^{2} y^{2} z^{2} - 2 x^{3} y^{2} z + x^{4} y^{2} - 2 x^{2} y z^{3} - (- 4 x^{3} y z^{2}) - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{4} z^{2} - 2 x y^{3} z^{2} - (- 4 x^{2} y^{3} z) - 2 x^{3} y^{3} + 4 x y^{2} z^{3} - 8 x^{2} y^{2} z^{2} + 4 x^{3} y^{2} z - 2 x y z^{4} - (- 2 x y z^{2} \times 2 z x) - 2 x y z^{2} x^{2} + y^{4} z^{2} - y^{4} \times 2 z x + y^{4} x^{2} - 2 y^{3} z \times z^{2} - (- 2 y^{3} z \times 2 z x) - 2 y^{3} z x^{2} + y^{2} z^{2} \times z^{2} - y^{2} z^{2} \times 2 z x + y^{2} z^{2} x^{2}

Multiply the terms

More Steps

x^{2} y^{2} z^{2} - 2 x^{3} y^{2} z + x^{4} y^{2} - 2 x^{2} y z^{3} - (- 4 x^{3} y z^{2}) - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{4} z^{2} - 2 x y^{3} z^{2} - (- 4 x^{2} y^{3} z) - 2 x^{3} y^{3} + 4 x y^{2} z^{3} - 8 x^{2} y^{2} z^{2} + 4 x^{3} y^{2} z - 2 x y z^{4} - (- 4 x^{2} y z^{3}) - 2 x y z^{2} x^{2} + y^{4} z^{2} - y^{4} \times 2 z x + y^{4} x^{2} - 2 y^{3} z \times z^{2} - (- 2 y^{3} z \times 2 z x) - 2 y^{3} z x^{2} + y^{2} z^{2} \times z^{2} - y^{2} z^{2} \times 2 z x + y^{2} z^{2} x^{2}

Multiply the terms

More Steps

x^{2} y^{2} z^{2} - 2 x^{3} y^{2} z + x^{4} y^{2} - 2 x^{2} y z^{3} - (- 4 x^{3} y z^{2}) - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{4} z^{2} - 2 x y^{3} z^{2} - (- 4 x^{2} y^{3} z) - 2 x^{3} y^{3} + 4 x y^{2} z^{3} - 8 x^{2} y^{2} z^{2} + 4 x^{3} y^{2} z - 2 x y z^{4} - (- 4 x^{2} y z^{3}) - 2 x^{3} y z^{2} + y^{4} z^{2} - y^{4} \times 2 z x + y^{4} x^{2} - 2 y^{3} z \times z^{2} - (- 2 y^{3} z \times 2 z x) - 2 y^{3} z x^{2} + y^{2} z^{2} \times z^{2} - y^{2} z^{2} \times 2 z x + y^{2} z^{2} x^{2}

Use the commutative property to reorder the terms

x^{2} y^{2} z^{2} - 2 x^{3} y^{2} z + x^{4} y^{2} - 2 x^{2} y z^{3} - (- 4 x^{3} y z^{2}) - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{4} z^{2} - 2 x y^{3} z^{2} - (- 4 x^{2} y^{3} z) - 2 x^{3} y^{3} + 4 x y^{2} z^{3} - 8 x^{2} y^{2} z^{2} + 4 x^{3} y^{2} z - 2 x y z^{4} - (- 4 x^{2} y z^{3}) - 2 x^{3} y z^{2} + y^{4} z^{2} - 2 y^{4} z x + y^{4} x^{2} - 2 y^{3} z \times z^{2} - (- 2 y^{3} z \times 2 z x) - 2 y^{3} z x^{2} + y^{2} z^{2} \times z^{2} - y^{2} z^{2} \times 2 z x + y^{2} z^{2} x^{2}

Multiply the terms

More Steps

x^{2} y^{2} z^{2} - 2 x^{3} y^{2} z + x^{4} y^{2} - 2 x^{2} y z^{3} - (- 4 x^{3} y z^{2}) - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{4} z^{2} - 2 x y^{3} z^{2} - (- 4 x^{2} y^{3} z) - 2 x^{3} y^{3} + 4 x y^{2} z^{3} - 8 x^{2} y^{2} z^{2} + 4 x^{3} y^{2} z - 2 x y z^{4} - (- 4 x^{2} y z^{3}) - 2 x^{3} y z^{2} + y^{4} z^{2} - 2 y^{4} z x + y^{4} x^{2} - 2 y^{3} z^{3} - (- 2 y^{3} z \times 2 z x) - 2 y^{3} z x^{2} + y^{2} z^{2} \times z^{2} - y^{2} z^{2} \times 2 z x + y^{2} z^{2} x^{2}

Multiply the terms

More Steps

x^{2} y^{2} z^{2} - 2 x^{3} y^{2} z + x^{4} y^{2} - 2 x^{2} y z^{3} - (- 4 x^{3} y z^{2}) - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{4} z^{2} - 2 x y^{3} z^{2} - (- 4 x^{2} y^{3} z) - 2 x^{3} y^{3} + 4 x y^{2} z^{3} - 8 x^{2} y^{2} z^{2} + 4 x^{3} y^{2} z - 2 x y z^{4} - (- 4 x^{2} y z^{3}) - 2 x^{3} y z^{2} + y^{4} z^{2} - 2 y^{4} z x + y^{4} x^{2} - 2 y^{3} z^{3} - (- 4 y^{3} z^{2} x) - 2 y^{3} z x^{2} + y^{2} z^{2} \times z^{2} - y^{2} z^{2} \times 2 z x + y^{2} z^{2} x^{2}

Multiply the terms

More Steps

x^{2} y^{2} z^{2} - 2 x^{3} y^{2} z + x^{4} y^{2} - 2 x^{2} y z^{3} - (- 4 x^{3} y z^{2}) - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{4} z^{2} - 2 x y^{3} z^{2} - (- 4 x^{2} y^{3} z) - 2 x^{3} y^{3} + 4 x y^{2} z^{3} - 8 x^{2} y^{2} z^{2} + 4 x^{3} y^{2} z - 2 x y z^{4} - (- 4 x^{2} y z^{3}) - 2 x^{3} y z^{2} + y^{4} z^{2} - 2 y^{4} z x + y^{4} x^{2} - 2 y^{3} z^{3} - (- 4 y^{3} z^{2} x) - 2 y^{3} z x^{2} + y^{2} z^{4} - y^{2} z^{2} \times 2 z x + y^{2} z^{2} x^{2}

Multiply the terms

More Steps

x^{2} y^{2} z^{2} - 2 x^{3} y^{2} z + x^{4} y^{2} - 2 x^{2} y z^{3} - (- 4 x^{3} y z^{2}) - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{4} z^{2} - 2 x y^{3} z^{2} - (- 4 x^{2} y^{3} z) - 2 x^{3} y^{3} + 4 x y^{2} z^{3} - 8 x^{2} y^{2} z^{2} + 4 x^{3} y^{2} z - 2 x y z^{4} - (- 4 x^{2} y z^{3}) - 2 x^{3} y z^{2} + y^{4} z^{2} - 2 y^{4} z x + y^{4} x^{2} - 2 y^{3} z^{3} - (- 4 y^{3} z^{2} x) - 2 y^{3} z x^{2} + y^{2} z^{4} - 2 y^{2} z^{3} x + y^{2} z^{2} x^{2}

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

x^{2} y^{2} z^{2} - 2 x^{3} y^{2} z + x^{4} y^{2} - 2 x^{2} y z^{3} + 4 x^{3} y z^{2} - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{4} z^{2} - 2 x y^{3} z^{2} + 4 x^{2} y^{3} z - 2 x^{3} y^{3} + 4 x y^{2} z^{3} - 8 x^{2} y^{2} z^{2} + 4 x^{3} y^{2} z - 2 x y z^{4} + 4 x^{2} y z^{3} - 2 x^{3} y z^{2} + y^{4} z^{2} - 2 y^{4} z x + y^{4} x^{2} - 2 y^{3} z^{3} + 4 y^{3} z^{2} x - 2 y^{3} z x^{2} + y^{2} z^{4} - 2 y^{2} z^{3} x + y^{2} z^{2} x^{2}

Calculate the sum or difference

More Steps

- 6 x^{2} y^{2} z^{2} - 2 x^{3} y^{2} z + x^{4} y^{2} - 2 x^{2} y z^{3} + 4 x^{3} y z^{2} - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{4} z^{2} - 2 x y^{3} z^{2} + 4 x^{2} y^{3} z - 2 x^{3} y^{3} + 4 x y^{2} z^{3} + 4 x^{3} y^{2} z - 2 x y z^{4} + 4 x^{2} y z^{3} - 2 x^{3} y z^{2} + y^{4} z^{2} - 2 y^{4} z x + y^{4} x^{2} - 2 y^{3} z^{3} + 4 y^{3} z^{2} x - 2 y^{3} z x^{2} + y^{2} z^{4} - 2 y^{2} z^{3} x

Add the terms

More Steps

- 6 x^{2} y^{2} z^{2} + 2 x^{3} y^{2} z + x^{4} y^{2} - 2 x^{2} y z^{3} + 4 x^{3} y z^{2} - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{4} z^{2} - 2 x y^{3} z^{2} + 4 x^{2} y^{3} z - 2 x^{3} y^{3} + 4 x y^{2} z^{3} - 2 x y z^{4} + 4 x^{2} y z^{3} - 2 x^{3} y z^{2} + y^{4} z^{2} - 2 y^{4} z x + y^{4} x^{2} - 2 y^{3} z^{3} + 4 y^{3} z^{2} x - 2 y^{3} z x^{2} + y^{2} z^{4} - 2 y^{2} z^{3} x

Add the terms

More Steps

- 6 x^{2} y^{2} z^{2} + 2 x^{3} y^{2} z + x^{4} y^{2} + 2 x^{2} y z^{3} + 4 x^{3} y z^{2} - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{4} z^{2} - 2 x y^{3} z^{2} + 4 x^{2} y^{3} z - 2 x^{3} y^{3} + 4 x y^{2} z^{3} - 2 x y z^{4} - 2 x^{3} y z^{2} + y^{4} z^{2} - 2 y^{4} z x + y^{4} x^{2} - 2 y^{3} z^{3} + 4 y^{3} z^{2} x - 2 y^{3} z x^{2} + y^{2} z^{4} - 2 y^{2} z^{3} x

Subtract the terms

More Steps

- 6 x^{2} y^{2} z^{2} + 2 x^{3} y^{2} z + x^{4} y^{2} + 2 x^{2} y z^{3} + 2 x^{3} y z^{2} - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{4} z^{2} - 2 x y^{3} z^{2} + 4 x^{2} y^{3} z - 2 x^{3} y^{3} + 4 x y^{2} z^{3} - 2 x y z^{4} + y^{4} z^{2} - 2 y^{4} z x + y^{4} x^{2} - 2 y^{3} z^{3} + 4 y^{3} z^{2} x - 2 y^{3} z x^{2} + y^{2} z^{4} - 2 y^{2} z^{3} x

Add the terms

More Steps

- 6 x^{2} y^{2} z^{2} + 2 x^{3} y^{2} z + x^{4} y^{2} + 2 x^{2} y z^{3} + 2 x^{3} y z^{2} - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{4} z^{2} + 2 x y^{3} z^{2} + 4 x^{2} y^{3} z - 2 x^{3} y^{3} + 4 x y^{2} z^{3} - 2 x y z^{4} + y^{4} z^{2} - 2 y^{4} z x + y^{4} x^{2} - 2 y^{3} z^{3} - 2 y^{3} z x^{2} + y^{2} z^{4} - 2 y^{2} z^{3} x

Subtract the terms

More Steps

- 6 x^{2} y^{2} z^{2} + 2 x^{3} y^{2} z + x^{4} y^{2} + 2 x^{2} y z^{3} + 2 x^{3} y z^{2} - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{4} z^{2} + 2 x y^{3} z^{2} + 2 x^{2} y^{3} z - 2 x^{3} y^{3} + 4 x y^{2} z^{3} - 2 x y z^{4} + y^{4} z^{2} - 2 y^{4} z x + y^{4} x^{2} - 2 y^{3} z^{3} + y^{2} z^{4} - 2 y^{2} z^{3} x

Solution

More Steps

- 6 x^{2} y^{2} z^{2} + 2 x^{3} y^{2} z + x^{4} y^{2} + 2 x^{2} y z^{3} + 2 x^{3} y z^{2} - 2 x^{4} yz + x^{2} z^{4} - 2 x^{3} z^{3} + x^{4} z^{2} + 2 x y^{3} z^{2} + 2 x^{2} y^{3} z - 2 x^{3} y^{3} + 2 x y^{2} z^{3} - 2 x y z^{4} + y^{4} z^{2} - 2 y^{4} z x + y^{4} x^{2} - 2 y^{3} z^{3} + y^{2} z^{4}

Show Solution