Question

Write the expression as a product of polynomials:

z(x−y)+y−x

Answer 1

(z - 1)(x - y)

Explanation:

`\begin{array}{rcll}f(x,y,z) & = & z(x - y) + y - x & \\& = &z(x - y) - 1(x - y) & \text{Factored -1 from the last two terms}\\& = & \mathbf{(z - 1)(x - y)} & \text{Factored out (x - y)}\\\end{array}`