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02-09-2021
Mathematics

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

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ferrybukantoro ferrybukantoro

02-09-2021

Step-by-step explanation:

the answer is in the photo as attached

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Answer Link

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

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