I have to simplify a ton of equations for my math class, and I am going crazy after 24 of them. Help would be greatly apreciated.
1: (2x^2+8/2x^2-12)-(5x-6-x^2/x^2+2x-8)
2: (4x-5/x^2+x-12)+(9/18-3x-x^2)+(2/x^2+10x+24)
3: (1/2x^2+11x+15)+(6x+7/3x^2+7x-6)-(19/6x^2+11x-10)
4: (m+n/m^2-mn+n^2)-(1/m+n)+(3m^2/m^3+n^3)
5: (3x+2y/x^2+3xy-10y^2)-(5x+y/x^2+4xy-5y^2)+(4x-y/x^2-3xy+2y^2)

Question

I have to simplify a ton of equations for my math class, and I am going crazy after 24 of them. Help would be greatly apreciated. 
1: (2x^2+8/2x^2-12)-(5x-6-x^2/x^2+2x-8)
2: (4x-5/x^2+x-12)+(9/18-3x-x^2)+(2/x^2+10x+24)
3: (1/2x^2+11x+15)+(6x+7/3x^2+7x-6)-(19/6x^2+11x-10) 
4: (m+n/m^2-mn+n^2)-(1/m+n)+(3m^2/m^3+n^3)
5: (3x+2y/x^2+3xy-10y^2)-(5x+y/x^2+4xy-5y^2)+(4x-y/x^2-3xy+2y^2)

vuriffy · Answer

Let me do one for you.

gnsa95 · Answer

I would appreciate that!! Thank you @Vuriffy

vuriffy · Answer

@gnsa95 Do you understand how to do them?

gnsa95 · Answer

yes! I am just tired, and I have a ton of other homework to do @Vuriffy . I am just overwhelmed by now.

vuriffy · Answer

http://www4f.wolframalpha.com/Calculate/MSP/MSP24361bgc7hi5a2c7193g0000424b4d31hb95fhia?MSPStoreType=image/gif&s=50

vuriffy · Answer

Glance at this.

vuriffy · Answer

Do you understand how they got to those values for number 1?

gnsa95 · Answer

I'll have to doble check and show all the work for that. 
But I'll prably figure it out.. Thank you so much!

gnsa95 · Answer

probably*

vuriffy · Answer

Do you mind working out one with me? It seems it would just be easier, don't you think? This allows for you to have the steps and I may be able to correct you on any errors. I know you may be tired, but effort is required. I don't wish to discourage you, but help you further in this process.

gnsa95 · Answer

I agree!! Thank you  ONCE again (:

vuriffy · Answer

Which one would you like to give a go at?

gnsa95 · Answer

# 1 is fine :)

vuriffy · Answer

$$(2x^2+8)/(2x^2-12)-(5x-6-x^2)/(x^2+2x-8)$$

vuriffy · Answer

What do you believe you should do to start this one?

vuriffy · Answer

Well, if you wish to do each part separate, we could. (2x^2 + 8)/(2x^2 - 12) which easily simplifies to (x^2 + 4)/(x^2 - 6) which is acquired by dividing each by 2 and resulting in a value of alternative form.

vuriffy · Answer

What you do to one side, you do to the other.

gnsa95 · Answer

Okay, I did it all.. I know how to do it.. It's just alot of work haha.. Thank you!!!

vuriffy · Answer

Sorry for not swiftly stating the answers, I only wish to help you grasp the concept then exclaim the answer right away. You have an wonderful night. @gnsa95

gnsa95 · Answer

Oh no, it's okay. Thank you! (: