Question

How do you simplify `(4x^2 - 12x + 9)/(4x^2 - 9 )`?

Answer 1

The numerator is: `4x^2-12x+9=(2x-3)^2`
The denominator is: `4x^2-9=(2x+3)(2x-3)`
So yot get:
`(4x^2-12x+9)/(4x^2-9)=((2x-3)^cancel(2))/((2x+3)cancel((2x-3)))=`
`=(2x-3)/(2x+3)`