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

does anyone have any ideas (easy) on cell simile projects. busy week but due tomorrow.HELP
Could a vector ever be shorter than one of its components? Equal in length to one of its components? Explain.
Leo has a total of 45c. he has some dimes and pennies . How many  different combinations of dimes and pennies could Leo have?make a table to solve.
During a soccer season, Mario made approximately 2 goal points for every 5 of his shots on goal.  What is the probability that Marion would make 2 goal points o
in what way was the population of the middle colonies like the population of the united states today?
How do solve 4v-13-10v=12-24v+5
Leo has a total of 45c. he has some dimes and pennies . How many  different combinations of dimes and pennies could Leo have?make a table to solve.
Why do the track runners start at different positions on the track?
plant roots can grow through cracks and what?
there ate 4 more oranges than apples in the fruit bowl, there ate 5 more apples than bananas. there are 2 bananas. how many of each type of fruit is in the b