Question

simplify: (x²-y²) ÷ (x power -1 - y power -1 )​

Answer 1

Answer:

x²-y²/x-¹ -y-¹.

(x+y) (x-y) /1/x-1/y

(x+y) (x-y) /y-x/xy

xy{(x+y) (x-y) } /y-x

taking -1 common out from numerator and denominator. we get.

(-x-y) *(y-x)

-[x+y]*(y-x)

-(x²-y²)

this is your answer.

pl€@$€ M@rk m€ @$ Br@iπli€St.

and f0ll0w m€

Answer 2

Answer:

-(x)^2.y - x(y)^2

Step-by-step explanation:

$( {x}^{2} - {y}^{2} ) \div ( {x}^{ - 1} - {y}^{ - 1} ) \\ = (x + y)(x - y) \div ( \frac{1}{x} - \frac{1}{y} ) \\ = (x + y)(x - y) \div( \frac{y - x}{xy} ) \\ = (x + y)(x - y) \times \frac{xy}{(y - x)} \\ = (x + y)(x - y) \times \frac{xy}{ - (x - y)} \\ = (x + y) \times - xy \\ = - {x}^{2}y - x {y}^{2}$