gopalbeeruva
gopalbeeruva gopalbeeruva
  • 21-04-2024
  • Mathematics
contestada

(x − y)^3 + (y - z )^3 + ( z − x)^3 = ______​

Respuesta :

Itz5151
Itz5151 Itz5151
  • 21-04-2024

Answer:

3(x-y)(y-z)(z-x)

Step-by-step explanation:

Let a = x-y,b = y-z,c = z-x

Then a+b+c = x-y+y-z+z-x =0

As a+b+c = 0 So a³+b³+c³ = 3abc

Put in the values

= 3(x-y)(y-z)(z-x)

Answer Link

Otras preguntas

21. (05.07 MC) The function for the speed of a plane that is landing from the sky is given by v(t) = 352 − 48t, where v is the velocity (in miles per hour) an
The 9.6 g object displaced 3.2 mL of water. What is its density in g/mL? density=[?] g/mL
About how long does it take Earth to complete one revolution around the Sun? Is it 27.3
What is the empirical formula for a compound composed of 0.0683 mol of carbon ( C ), 0.0341 mol of hydrogen ( H ), and 0.1024 mol of nitrogen ( N )?
The price of a pack of kitchen rolls is reduced by 1/6The new price is £1.20Work out the original price.
Find equation in slope intercept form of the line passing through the points with given coordinates (-4,-2), (-2,2)
Which Ancient Greek doctor developed humorist the theory that personality and human behavior are based on four bodily fluids or humors
For years, doctors have been puzzled by the condition known as Capgras Delusion, in which a person believes that his or her family members and friends have been
“Whatever goes upon four legs, or has wings, is a friend. And remember also that in fighting against Man, we must not come to resemble him. Even when you have c
Someone to help me with these questions.