x2+2y2x+logx\frac{x^{2}+2 y}{2 x+\log x}2x+logxx2+2y
x+2y+5(x+y)+logx\frac{x+2 y+5}{(x+y)+\log x}(x+y)+logxx+2y+5
xy+y2+1x+logx\frac{x y+y^{2}+1}{x+\log x}x+logxxy+y2+1
−xy+x+y2x[1+(x+y)logx]-\frac{x y+x+y^{2}}{x[1+(x+y) \operatorname{log} x]}−x[1+(x+y)logx]xy+x+y2
−x+xy−y2x2[(x+y)logx]-\frac{x+x y-y^{2}}{x^{2}[(x+y) \log x]}−x2[(x+y)logx]x+xy−y2