Question

PLEASE ANSWER WITH SUITABLE SOLUTION AND SOEEY FOR ANY ROUGH ON THE SCREEN

OLYMPIAD LEVEL QUESTION​

Answer 1

Answer:

X-y

step s to solve this question:

first take common in numerator then you will find that some some part of numerator match with denominator ad cut the part .

then you will get the answer x-y.

Answer 2

Step-by-step explanation:

$by \: using \: factor \: method \\ = \frac{{x}^{ \frac{3}{2} } - {xy}^{ \frac{1}{2} } + {x}^{ \frac{1}{2}} y - {y}^{ \frac{3}{2} } }{( {x}^{ \frac{1}{2} } - {y}^{ \frac{1}{2} }) } \\ = \frac{x( {x}^{ \frac{1}{2} } - {y}^{ \frac{1}{2} } ) + y( {x}^{ \frac{1}{2} } - {y}^{ \frac{1}{2} } ) }{( {x}^{ \frac{1}{2} } - {y}^{ \frac{1}{2} } ) } \\ = \frac{(x + y)( {x}^{ \frac{1}{2} } - {y}^{ \frac{1}{2} } )}{( {x}^{ \frac{1}{2} } - {y}^{ \frac{1}{2} } )} \\ =(x + y) \\ \\ \\ \\ hence \: (x + y) \: is \: the \: quotient \: .$

I hope you like it and mark brainliest answer.