Question

QUESTION 2. SIMPLIFY
PLZ SOLVE ​

Answer 1

Answer:

Step-by-step explanation:

Given that,

[ ( √x² + y² ) - y / x - (√ x² - y² ) ] ÷ [ ( √x² - y² ) + x / ( √ x² + y² ) + y ]

= [ (√x² + y²) - y / x - (√x² - y²) ] × [ (√x² + y²) + y / x + (√x² - y²) ]

= { [ (√x² + y²) - y ] × [ (√x² + y²) + y ] } / { [ x - (√x² - y²) ] × [ x + (√x² - y²) ] }

= [ (√x² + y²)² - y² ] / [ x² - ( √x² - y²) ] [∵a² - b² = ( a - b ) ( a + b ) ]

= ( x² + y² - y² ) / ( x² - x² + y² )

= x² / y² is the answer.