Hi,
Work:
[tex] \frac{8 {x}^{2} - 12x }{4 {x}^{2} - 12x + 9 } [/tex]
Factor out 4x from the expression.
[tex] \frac{4x \times (2x - 3)}{4 {x}^{2} - 12x + 9 } [/tex]
Simplify expression.
[tex] \frac{4x \times (2x - 3)}{ {(2x - 3)}^{2} } [/tex]
Result:
[tex]\frac{4x}{2x - 3}[/tex]
Hope this helps.
r3t40