arjungurung2026
arjungurung2026 arjungurung2026
  • 02-09-2021
  • Mathematics
contestada

if a- 2b +3c =0 prove that a³ -8b³+ 27c²= - 18abc​

Respuesta :

ferrybukantoro
ferrybukantoro ferrybukantoro
  • 02-09-2021

Step-by-step explanation:

the answer is in the photo as attached

Ver imagen ferrybukantoro
Answer Link
mhanifa
mhanifa mhanifa
  • 02-09-2021

Answer:

Use the identity:

  • x³ + y³ + z³ = 3xyz if x + y + z = 0

Substitute:

  • x = a, y = -2b, z = 3c

to get

  • a³ + (-2b)³ + (3c)³ = 3a(-2b)(3c)
  • a³ - 8b³ + 27c³ = --18abc
Answer Link

Otras preguntas

what is the advantage for the use of voting machines?
The one invention that has made many complex machines possible is the invention of the:
Early human populations were controlled by all of these factors except? is it predation, disease, pollution, food availability.
The heart, liver, and stomach are each examples of a. an organ system. b. a tissue. c. an organ. d. a nerve.
if joelle multiplied 792 by a positive integer and came up with a perfect square, what is the smallest integer she could have multiplied by?
The north star was published by
your arm needs tissue that give support and flexibility to allow it to move. what two systems would fulfill these requirements?
solve the compound inequality 8x>or=-64 and 10x<60
which is the equivalent percent form of the fraction 3/8 ?
ANSWER THIS AND MY OTHER QUESTION GIVING LOTS OF POINTS Which of the following animals will have a forelimb most similar to a dolphin? shark eagle human lizard