Question

if a/b+b/a=-1,find the value of a^3-a^3:

Answer 1

$Given, \frac{a}{b} + \frac{b}{a} = -1$

On cross-multiplication, we get

$\frac{a^2+b^2}{ab} = -1$

$a^2 + b^2 = -ab$    ---------------------- (1)

Then,

a^3 - b^3 = (a - b)(a^2 + b^2 + ab)

                = (a-b)(-ab + ab)

                = (a-b)(0)

                = 0.


Therefore a^3 - b^3 = 0.


Hope this helps!

Answer 2

Answer:

Step-by-step explanation: