[latex] \frac{1}{x} - \frac{x+6y}{6xy} [/latex] x=√32 y=[latex] \frac{1}{9} [/latex]

[latex] \frac{1}{x}- \frac{x+6y}{6xy} = \frac{1*6y}{x*6y}- \frac{x+6y}{6xy} = \frac{6y}{6xy}- \frac{x+6y}{6xy} = \frac{6y-(x+6y)}{6xy}= \frac{6y-x-6y}{6xy}=[/latex] [latex]= \frac{-x+6y-6y}{6xy}= \frac{-x}{6xy}=- \frac{1*x}{6*x*y} =- \frac{1}{6*y} =- \frac{1}{6y} =-1:(6y)=[/latex] [latex]=-1:(6* \frac{1}{9} )=-1: \frac{6*1}{9} =-1: \frac{2*3}{3*3}=-1: \frac{2}{3}=-1* \frac{3}{2}=-1*1.5=[/latex] [latex]=-1.5=- \frac{3}{2} [/latex]