Answer:
(x - y)(x + y + z)
Step-by-step explanation:
Given
x(x + z) - y(y + z) ← distribute both parenthesis
= x² + xz - y² - yz ← rearrange
= x² - y² + xz - yz ← x² - y² can be factored as a difference of squares
= (x - y)(x + y) + z(x - y) ← factor out (x - y) from each term
=(x - y)(x + y + z)
