# How do you factor #6xr+2xs+3yr+ys#?

##### 1 Answer

Apr 28, 2017

#### Answer:

#### Explanation:

#"factorise by 'grouping' "#

#color(red)(6xr+2xs)color(magenta)(+3yr+ys)#

#=color(red)(2x)(3r+s)+color(magenta)(y)(3r+s)#

#(3r+s)" is a common factor to both groups"#

#=(3r+s)(color(red)(2x)+color(magenta)(y))#

#rArr6xr+2xs+3yr+ys=(3r+s)(2x+y)#