Question

How do you factor `4m(4 - m) + 3n(4 - m)`?

Answer 1

`(4-m)(4m+3n)`

Explanation:

notice:

`4mcolor(red)((4 - m )) + 3ncolor(red)(( 4 - m )`

`color(red)( (4-m) )` is common in each, this whole term can be factored out

`=> color(red)( (4-m) ) [ 4m + 3n ]`

`color(blue)( = ( 4-m )( 4m + 3n)`

This is the most simplified factorisation