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nalin [4]
3 years ago
7

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

Mathematics
2 answers:
Yanka [14]3 years ago
7 0

Answer:

<u>Use the identity:</u>

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

<u>Substitute:</u>

  • x = a, y = -2b, z = 3c

<u>to get</u>

  • a³ + (-2b)³ + (3c)³ = 3a(-2b)(3c)
  • a³ - 8b³ + 27c³ = --18abc
inna [77]3 years ago
4 0

Step-by-step explanation:

the answer is in the photo as attached

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