Question

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

Answer 1

`(3r+s)(2x+y)`

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)`