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

Evaluate

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

Multiply the terms

More Steps

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

Apply the distributive property

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

Multiply the terms

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

Multiply the terms

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

Multiply the terms

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

Multiply the terms

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

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

Subtract the terms

More Steps

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

Solution

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

Simplify the expression