SOLUTION: Please can someone assist me. i would be so greatful. 1)simplify x+2/x+3 / x^2+x-12/x^2-9 2)simplify x^2-y^2/2x /x-y/6x 3)simplify x^2 + 7x/3x/49-x^2/3x-21 4)simpl

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Question 48708: Please can someone assist me. i would be so greatful.

1)simplify x+2/x+3 / x^2+x-12/x^2-9
2)simplify x^2-y^2/2x /x-y/6x
3)simplify x^2 + 7x/3x/49-x^2/3x-21
4)simplify 6/x^2+4x+4 + 5/x+2
5)simplify 2-5x/x-9+ 4x-5/9-x
6)simplify 7x/x^2-y^2-1/x-y
7)simplify x+12/4x-16 - x+4/2x-8
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
1)simplify x+2/x+3 / x^2+x-12/x^2-9
Factor where you can:
(x+2)/(x+3)/(x+4)(x-3)/(x-3)(x+3
(x+2)/(x+4
---------------------
2)simplify x^2-y^2/2x /x-y/6x
(x+y)(x-y)/2x]
(x+y)3
---------------------------
3)simplify x^2 + 7x/3x/49-x^2/3x-21
[x(x+7)/3x]
= -1
---------------------------
4)simplify 6/x^2+4x+4 + 5/x+2
[6/(x+2)^2]+[5/(x+2)]
[6/(x+2)^2] + [5(x+2)/(x+2)^2]
[5x+16]/[(x+2)^2]
---------------------------
5)simplify 2-5x/x-9+ 4x-5/9-x
[(2-5x)/(x-9)]+ [(4x-5)/(9-x)]
[3+2x]/[4x-5]
-----------------------------
6)simplify 7x/x^2-y^2-1/x-y
7x(x-y)/(x^2-y^2-1)
----------------------------
7)simplify x+12/4x-16 - x+4/2x-8
[(x+12)/4(x-4)] - [(x+4)/2(x-4)]
[x+12 -2x-8]/4(x-4)
-(4-x)/2(x-4)
1/2
------------------------------
Cheers,
Stan H.