Question

How do you simplify `(x-3)/(4x-12) times( 3x+9)/(4x+12)`?

Answer 1

`3/16`

Explanation:

Before we can do any simplifying we need to factorise.

`(x-3)/(4x-12) times( 3x+9)/(4x+12)`

=`(x-3)/(4(x-3)) times( 3(x+3))/(4(x+3))`

=`(cancel(x-3))/(4cancel((x-3))) times( 3cancel((x+3)))/(4cancel((x+3))`

=`3/16`