Solve (x-y)(y-z)(z-x)(x y z)

Question

Simplify the expression

- x^{3} y^{2} z - x^{2} z^{3} y + x^{3} z^{2} y - y^{3} z^{2} x + y^{3} x^{2} z + y^{2} z^{3} x

Evaluate

(x - y) (y - z) (z - x) x yz

Multiply the terms

More Steps

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

Multiply the terms

More Steps

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

Multiply the terms

More Steps

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

Multiply the terms

More Steps

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

Apply the distributive property

- x^{3} y^{2} z - x^{2} z^{2} yz + x^{3} zyz - y^{3} z x z + y^{3} x^{2} z + y^{2} z^{2} x z

Multiply the terms

More Steps

- x^{3} y^{2} z - x^{2} z^{3} y + x^{3} zyz - y^{3} z x z + y^{3} x^{2} z + y^{2} z^{2} x z

Multiply the terms

- x^{3} y^{2} z - x^{2} z^{3} y + x^{3} z^{2} y - y^{3} z x z + y^{3} x^{2} z + y^{2} z^{2} x z

Multiply the terms

- x^{3} y^{2} z - x^{2} z^{3} y + x^{3} z^{2} y - y^{3} z^{2} x + y^{3} x^{2} z + y^{2} z^{2} x z

Solution

More Steps

- x^{3} y^{2} z - x^{2} z^{3} y + x^{3} z^{2} y - y^{3} z^{2} x + y^{3} x^{2} z + y^{2} z^{3} x

Show Solution