Simplify Fractions: 4x²-6x/(4x²-9)

[thomas49th]

Homework Statement

Simplify fully the following equation

Homework Equations

$$\frac{4x^{2}-6x}{4x^{2}-9}$$

The Attempt at a Solution

the 4x² cancel each other out and 3 goes into 6 and 9
so the answer is
$$\frac{-2x}{-3}$$

but that seems to easy for the penultinate question on a higher GCSE paper.

 

[hage567]

Sorry, but where are you getting the 4x^2 from?

 

[thomas49th]

Sorry, I missed it out in the equatio above... I've edited it in now

Thanks

 

[hage567]

You can't cancel out the 4x^2 like that! That's an illegal move.

 

[malawi_glenn]

You can only cancel out factors! never terms!