Question

(4x/(x+2) + 2x)(x+2)/(4x^2 )

Answer 1

((4x+2x^2+4x)(x+2))/(2*x)=
=((4+x)*(x+2))/2x 

Answer 2

$(frac{4x}{x+2}+2x)*frac{x+2}{4x^2}=frac{4x+2x(x+2)}{x+2}*frac{x+2}{4x^2}=frac{4x+2x^2+4x}{4x^2}=frac{8x+2x^2}{4x^2}=$

 

$=frac{2x(4+x)}{4x^2}=frac{4+x}{2x}$

 

 

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