AustinePhilip AustinePhilip
  • 03-07-2020
  • Mathematics
contestada

If x/y + y/x = -1 , find the value of x^3 - y^3

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 05-07-2020

Answer:

  0

Step-by-step explanation:

Multiplying the first equation by xy, we have ...

  x^2 +y^2 = -xy

Factoring the expression of interest, we have ...

  x^3 -y^3 = (x -y)(x^2 +xy +y^2)

Substituting for xy using the first expression we found, this is ...

  x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0

The value of x^3 -y^3 is 0.

Answer Link

Otras preguntas

Milk and milk products provide much of the ____ in people’s diets.​
Find the missing number:
According to the Rational Root Theorem, which number is a potential root of f(x) = 9x8 + 9x6 – 12x + 7? A 0 B1/7 C2 D7/3
What year was the Lancaster Tunrpike built?
When a government passes a new law, it is exercising its _____. ((legislative power)) <-- answer!
Each gene contains how many units of information? A. thousands B. one
Germany, Italy, and Japan built up their militaries to:
What times what gives you 121?
Jeraldo works for a homeless shelter. He paid $450 for bed frames and needed to buy 32 beds. What's the most he can spend per bed if the total he can afford to
FOUR SHORT MULTIPLE CHOICE QUESTIONS please answer soon ;-; Which of these is an important part of Shintoism? A. honoring spirits B. belief in one god C. follow