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((x-2)/(2x)+(1)/(x+2))/((3)/(2)-(6)/(x^(2)+2x))

 

How would I solve this?

Please give step by step directions on how to solve

 Oct 17, 2017
 #1
avatar+26396 
+2

How would I solve this?

((x-2)/(2x)+(1)/(x+2))/((3)/(2)-(6)/(x^(2)+2x))

 

x22x+1x+2326x2+2x|x2+2x=x(x+2)=x22x+1x+2326x(x+2)=(x2)(x+2)+12x2x(x+2)3x(x+2)262x(x+2)=[ (x2)(x+2)+12x ]2x(x+2)2x(x+2)[ 3x(x+2)26 ]=(x2)(x+2)+12x3x(x+2)26=(x2)(x+2)+2x3x(x+2)12=x24+2x3x2+6x12=13(x2+2x4)(x2+2x4)=13

 

laugh

 Oct 17, 2017
 #2
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i dont understand the last two steps can u pls explain

 

Guest Oct 18, 2017
 #3
avatar+26396 
+3

i dont understand the last two steps can u pls explain

 

 

(x2)(x+2)+2x3x(x+2)12|(x2)(x+2)=x2+2x2x22=x24=x24+2x3x2+6x12=x24+2x3x2+23x(34)=x24+2x3(x2+2x(4))=x24+2x3(x24+2x)=(x24+2x)3(x24+2x)|(x24+2x)(x24+2x)=1=131=13

 

 

laugh

heureka  Oct 18, 2017

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