Solve (x y z)^2*(x-y-z)^2 4y^2-4z^2

Evaluate

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

Multiply the terms

More Steps

4 (x y^{2} z (x - y - z))^{2} - 4 z^{2}

Rewrite the expression

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

Factor out 4 z from the expression

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

Factor the expression

More Steps

4 z \times z (x^{2} y^{2} - x y^{3} - x y^{2} z - 1) (x^{2} y^{2} - x y^{3} - x y^{2} z + 1)

Solution

4 z^{2} (x^{2} y^{2} - x y^{3} - x y^{2} z - 1) (x^{2} y^{2} - x y^{3} - x y^{2} z + 1)

Simplify the expression