If 3 a-5 b-4 c-0 - then the value of 27 a3-125 b3-64 c3is

The correct option is D 180abcGiven that 3a nbsp;+ nbsp;5b nbsp;+ nbsp;4c = 0 ∴ nbsp; nbsp;3a nbsp;+ nbsp;5b nbsp;= nbsp; 4c nbsp; Cub ...

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Expansion of (a ± b)³

If 3 a+5 b+4 ...

Question

If 3a + 5b + 4c = 0; then the value of 27a³ + 125b³ + 64c³
is

160abc

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240abc

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200abc

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180abc

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Solution

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If $3 a + 5 b + 4 c = 0$ , show that:
$27 a^{3} + 125 b^{3} + 64 c^{3} = 180 a b c$ .

If 3a + 5b + 4c = 0, Find the value of $27 a^{3} + 125 b^{3} + 64 c^{3}$ .

3 a + 5 b + 4 c = 0

27 a^{3} + 125 b^{3} + 64 c^{3} = 180 a b c

7 a - 5 b = 6

a b = 9

343 a^{3} - 125 b^{3}

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