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

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