# How do you factor # xy -x + 5y -5# by grouping?

##### 1 Answer

Aug 16, 2016

#### Explanation:

Group the terms in 'pairs' as follows.

#[xy-x]+[5y-5]# now factorise each pair.

#color(red)(x)(y-1)+color(red)(5)(y-1)# take out the

#color(blue)"common factor"# (y -1)

#(y-1)(color(red)(x+5))=(y-1)(x+5)#