Question

sinplify : (x-y)^2-x+y÷X-Y-1​

Answer 1

Xy[(x+y)(1/x-1/y)+2x/y]

=> xy[(x+y)(y-x)/xy + 2x/y]

=> xy[(x²-y²)/xy+2x/y]

(a-b)(a+b) = a²-b²

=> xy[(x²-y²)/xy+x(2x)/xy]

=> xy [(x²-y²+2x²)/xy]

=> xy [(x²+y²)/xy]

=> xy and xy got cancelled out so, our answer is

=> x²+y²

$\huge\red{➳Ṧřîⅉꫝᾇñ ࿐}$

Answer 2

Answer:

Xy[(x+y)(1/x-1/y)+2x/y]

=> xy[(x+y)(y-x)/xy + 2x/y]

=> xy[(x²-y²)/xy+2x/y]

(a-b)(a+b) = a²-b²

=> xy[(x²-y²)/xy+x(2x)/xy]

=> xy [(x²-y²+2x²)/xy]

=> xy [(x²+y²)/xy]

=> xy and xy got cancelled out so, our answer is

=> x²+y²