How do you factor 4x - x^2 - 4y + xy completely?

1 Answer
Oct 7, 2016

(4-x)(x-y)

Explanation:

Factorise by color(blue)"grouping the terms" as follows.

[4x-x^2]+[-4y+xy]

now factorise each group.

rArrcolor(red)(x)color(blue)((4-x))color(red)(-y)color(blue)((4-x))

We now have a common factor of (4 - x).

rArrcolor(blue)((4-x))color(red)((x-y))

rArr4x-x^2-4y+xy=(4-x)(x-y)