Question

Simplify (a-¹+b-¹) ÷ (a-²-b-²) [Answer is a-b/(b-a)]

Answer 1

(1/a + 1/b) / (1/a^2 - 1/b^2)

(a + b / ab) / ( b^2 - a^2 / a^2 b^2)

(a + b / ab) / ( b^2 - a^2 / (ab) ^2)

(a + b/1) / (b^2 - a^2 / ab)

(a + b) ( ab) / (b + a) (b -a)

:• b^2 - a^2 = (b + a) (b -a)

(ab) / ( b - a)

Hope that it is helpful to you

If it is helpful to you add my answer to

Brainliest

Follow me

Answer 2

Answer:

(x+y) [ x²-xy+y² - 1]

Step-by-step explanation:

x³+y³-x-y

= (x+y)(x²-xy+y²) - (x+y)

= (x+y) [ x²-xy+y² - 1]