Question

Can someone answer this for me

Answer 1

hope this will help u

Answer 2

GIVEN:-

• if $\rm{\dfrac{x}{y} +\dfrac{y}{x} = -1}$.

TO FIND:-

• The Value of $\rm{x^3 - y^3}$

Now,

$\rm{\dfrac{x}{y} +\dfrac{y}{x} = -1}$.

Taking xy as LCM

$\rm{\dfrac{x^2+y^2}{xy} = -1}$

$\rm{ x^2 + y^2 = -xy}$

Therefeore,

$\rm{x^3 - y^3 = (x-y) (x^2+y^2+xy)}$

Putting the value of x²+y²

$\rm{x^3-y^3 = (x-y) (-xy+xy)}$

$\rm{x^3-y^3 = (x-y) (0)}$

$\rm{x^3-y^3 = 0}$.

Hence, The Value of x³ - y³ is 0.

Useful Identities.

• (a+b)² = a² + b² + 2ab

• (a-b)² = a² - 2ab + b²

• a³+b³ = (a+b) (a²+b²+ab).