Question

How do you factor `ay-yz+ax-xz`?

Answer 1

`(x+y)(a-z)`

Explanation:

Factor by grouping. Sort the polynomial into two sections of two.

`overbrace(color(red)acolor(blue)ycolor(red)-color(blue)ycolor(red)z)^"Factor term from here"+overbrace(color(red)acolor(blue)xcolor(red)-color(blue)xcolor(red)z)^"Factor term from here"`

`=color(blue)y(color(red)(a-z))+color(blue)x(color(red)(a-z))`

Now, think of `(a-z)` as one term, and factor it from the `y` and the `x`.

`=(x+y)(a-z)`