Rozwiąż równanie 3x(x+y) / x^2 + 2xy+y^2 Dla x= 1/3 y= 2/3 / to jest kreska ułamkowa ^2 to potęga :D

[latex] frac{3 x(x+y)}{ x^{2} +2xy+ y^{2} } =[/latex] [latex] frac{3 x^{2} +3xy}{ x^{2} +2xy+ y^{2} } =[/latex] [latex] frac{3*( frac{1}{3})^2+3* frac{1}{3}* frac{2}{3} }{( frac{1}{3})^2+2* frac{1}{3} * frac{2}{3} +( frac{2}{3})^2 } =[/latex] [latex] frac{3* frac{1}{9}+ frac{2}{3} }{ frac{1}{9} + frac{4}{3} + frac{4}{9} } =[/latex] [latex] frac{ frac{1}{3}+ frac{2}{3} }{ frac{1}{9} + frac{4}{3}+ frac{4}{9} } =[/latex] [latex] frac{1}{ frac{5}{9}+ frac{4}{3} } =[/latex] [latex] frac{1}{ frac{5}{9}+ frac{12}{9} } =[/latex] [latex] frac{1}{ frac{17}{9} } =[/latex] [latex]1: frac{17}{9} =1* frac{9}{17} = frac{9}{17} [/latex]