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Question Number 38825 by Sr@2004 last updated on 30/Jun/18

Commented by kunal1234523 last updated on 30/Jun/18

sir Sr@2004 you can write here very easily.

sirSr@2004youcanwritehereveryeasily.

Commented by Sr@2004 last updated on 30/Jun/18

please solve it.

pleasesolveit.

Commented by NECx last updated on 30/Jun/18

please type it instead

pleasetypeitinstead

Commented by Sr@2004 last updated on 30/Jun/18

I can not understand

Icannotunderstand

Answered by kunal1234523 last updated on 30/Jun/18

(x+z):(y+z)= ((x/y) + 2):((y/x) + 2)  ((x + z)/(y + z)) = (((x + 2y)x)/((y + 2x)y))  (x + z)(y^2  + 2xy) = (y + z)(x^2 + 2xy)  xy^2  + 2x^2 y + y^2 z + 2xyz = x^2 y + 2xy^2  + x^2 z + 2xyz  x^2 y − xy^2  = x^2 z − y^2 z  xy^2  − y^2 z = x^2 y − x^2 z  y^2 (x − z) = x^2 (y − z)  ((x−z)/(y−z)) = (x^2 /y^2 )   (x−z):(y−z) = x^2 :y^2  proved

(x+z):(y+z)=(xy+2):(yx+2)x+zy+z=(x+2y)x(y+2x)y(x+z)(y2+2xy)=(y+z)(x2+2xy)xy2+2x2y+y2z+2xyz=x2y+2xy2+x2z+2xyzx2yxy2=x2zy2zxy2y2z=x2yx2zy2(xz)=x2(yz)xzyz=x2y2(xz):(yz)=x2:y2proved

Commented by Sr@2004 last updated on 30/Jun/18

thank you

thankyou

Commented by Sr@2004 last updated on 30/Jun/18

but please solve in another way sir.

butpleasesolveinanotherwaysir.

Commented by kunal1234523 last updated on 30/Jun/18

in which way

inwhichway

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