Question

How do you factor the expression `7(x-y)-z(x-y)`?

Answer 1

`(x-y)(7-z)`

Explanation:

This is exactly the same as factoring `7a - za` where there is a common factor of `a`, leading to `a(7 - z)`

However, in this case, instead of a single variable as the common factor, there is an entire bracket which appears in both terms.

`7color(blue)((x-y))-zcolor(blue)((x-y))`

Divide each term by the common bracket

`color(blue)((x-y))(7-z)`