Find the value of 27a^3+8b^3-125c^3 given that abc=0 and 3a+2b=5c.

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Solution

27a³ + 8b³ - 125c³= (3a)³+ (2b)³ + (-5c)³
3a + 2b = 5c
3a + 2b - 5c = 0

Hence, (3a)³ + (2b)^3 + (-5c)³ = 3 (3a) (2b)(-5c)
= -90 abc = -90 x 0 = 0.ans...

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It is given that $3 a + 2 b = 5 c,$ then find the value of $27 a^{3} + 8 b^{3} - 125 c^{3}$ if $a b c = 0.$

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