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HELP ME OUT PLEASE SOLVE IT.............Check if I am right or wrong ..Rational Expression

Simplify the given rational expression.( Assume that all denominators are nonzero) I have done it myself ,Just want to be sure if I am right .
 
2x^2+14x+20
----------------
5x^2-25x-70
 
Here is my Answer 2(x+5)
                          ---------
                           5(x-7)
 
   18-2x
------------
x^2-3x-54
 
here is my answer: -2
                          ------
                           x+6
 
 
   36-x^2
--------------
x^2-12x+36
 
here is my answer:-(x-6)-^1(x+6)
 
 
 
  x^3-27
------------
     3-x
 
here is my answer: -(x^2+3x+9)
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2 Answers

Hi again Ibadan;
2x2+14x+20
5x2-25x-70
 
I will work through, and see if our answers match.
(2x+10)(x+2)
(5x-35)(x+2)
 
(2x+10)
(5x-35)
 
2(x+5)
5(x-7)
 
SAME ANSWER!!!!
 
18-2x
x2-3x-54
 
2(9-x)
(-x+9)(-x-6)
 
   2    
(-x-6)
MY ANSWER IS SLIGHTLY DIFFERENT!!!!
 
36-x2
x2-12x+36
 
(6-x)(6+x)
(-x+6)(-x+6)
 
(6+x)
(-x+6)
MY ANSWER IS DIFFERENT!!!!
 
x3-27
3-x
 
The numerator is the arithmetic of two cubes...
x3-33
The equation for adding two cubes is...
(a + b)(a2 – ab + b2)
a=x
b=-3
 
(x-3)(x2+3x+9)
(3-x)
 
If we make both the numerator and denominator negative...
-(x-3)(x2+3x+9)
(x-3)
 
-(x2+3x+9)
SAME ANSWER!!!!!
 
 
 
 
a2 - b2 = (a - b)(a + b)

a2 ± 2ab + b2 = (a ± b)2 = (b ± a)2 = b2 ± 2ab + a2 

~~~~~~~~~~   

All your answers are correct. If you are taking online course, just make sure format of your answers will match theirs.
  
               36 - x2 
3.) = ------------------ =
          36 - 12x + x2

          (6 - x)(6 + x)
        ------------------ =
            (6 - x)^2  

 6 + x
--------
 6 - x