If a - 2b + 3c = 0; state the value of
a3 – 863 +27c².
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Answered by
1
a + 2b = - 3c ---( 2 )( a + 2b )³ = ( - 3c )³a³ + ( 2b )³ + 3 × a × 2b ( a + 2b ) = - 27c³a³ + 8b³ + 27c³ + 6ab × ( - 3c ) = 0[from ( 2 ) ]a³ + 8b³ + 27c³ - 18abc = 0a³ + 8b³ + 27c³ = 18abcHence proved .I hope this helps you.: )
Answered by
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Answer:
Step-by-step explanation:
a + 2b + 3c = 0 ---( 1 )
a + 2b = - 3c ---( 2 )
( a + 2b )³ = ( - 3c )³
a³ + ( 2b )³ + 3 × a × 2b ( a + 2b ) = - 27c³
a³ + 8b³ + 27c³ + 6ab × ( - 3c ) = 0
[from ( 2 ) ]
a³ + 8b³ + 27c³ - 18abc = 0
a³ + 8b³ + 27c³ = 18abc
Hence proved .
I hope this helps you.
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