Simplify completely quantity 6 x squared minus 54 x plus 84 over quantity 8 x squared minus 40 x plus 48 divided by quantity x squared plus x minus 56 over quantity 2 x squared plus 12 x minus 32

Question

anonymous · Answer

6x^2 – 54x + 84                          x^2 + x - 56
--------------------- divided by ----------------------
8x^2 – 40x + 48                       2x^2 + 12x - 32

This is the best I can do with equation.

anonymous · Answer

Refer to the Mathematica attachment.

anonymous · Answer

Wow! Thanks for explaining this; can I ask, how come the different equation parts were all switched with each other?

anonymous · Answer

Not sure what it is that you mean, however, Mathematica does not always leave terms in class room form or order.  That is why it's TraditionalForm function is brought into play.

Thank you for the medal.

anonymous · Answer

Ok, I understand, thx again! Do you think you could help with another similar one I was stuck on?

anonymous · Answer

Simplify completely quantity x squared minus 100 over quantity x squared plus 2 x minus 120 divided quantity 6 x plus 60 over quantity x minus 2 

I wasn't quite sure with this one either...

anonymous · Answer

Refer to the second Mathematica solution attached.