It is given that 3a + 2b = 5c . Find the value of 27a 3 + 8b 3 – 125c 3 if abc = 0.
27a^3 + 8b^3 - 125c^3 = (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 * 0 = 0
So the answer is zero
3a + 2b = 5c
3a + 2b - 5c = 0
Hence, (3a)^3 + (2b)^3 + (-5c)^3 = 3 (3a) (2b)(-5c)
= -90 abc = -90 * 0 = 0
So the answer is zero