х- у х -у х – у . /х – у х- у х + y...
Question

# х- у х -у х – у . /х – у х- у х + y 2/ху х + y y=x х -у

JEE/Engineering Exams
Maths
Solution
124
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( frac{frac{0,4}{sqrt{x}-sqrt{y}}-frac{x-y}{sqrt{x}+sqrt{y}} cdot frac{2 sqrt{x y}}{y-x}}{frac{sqrt{x}-sqrt{y}}{x-4}+frac{sqrt{x}+sqrt{9}}{x-y}} ) ( left[frac{left[frac{x-y}{sqrt{x}-sqrt{y}} times frac{sqrt{x}+sqrt{y}}{sqrt{x}+sqrt{y}}right]-left[frac{x-y}{sqrt{x}+sqrt{y}} cdot frac{sqrt{x}-sqrt{y}}{sqrt{x}-sqrt{y}}right]}{frac{sqrt{x}-sqrt{y}}{x-y}+frac{sqrt{x}+sqrt{y}}{x-y}} times frac{2 sqrt{x y}}{y-x}right. ) ( left.=int frac{left(frac{x-y}{x-y}right)(sqrt{x}+sqrt{y})-frac{(x-y)(sqrt{x}-sqrt{y})}{(x-y)}}{frac{sqrt{x}-sqrt{y}+sqrt{x}+sqrt{y}}{x-y}} cdot frac{x(2 sqrt{x y}}{y-x}right] ) ( Rightarrow frac{lceilsqrt{x}+sqrt{y}-(sqrt{x}-sqrt{y}) f(x-y)}{2 sqrt{x}} timesleft[frac{2 times sqrt{x y}}{y-x}right] ) ( Rightarrow quad frac{2 sqrt{4}}{2 sqrt{x}} quad frac{y[-2 sqrt{x} y}{=frac{-2 sqrt{y}}{x sqrt{x y}=}-2 sqrt{4} times sqrt{y}} ) ( frac{sqrt{x}}{=}-2 y )