# If m-5n=2, then the value of (m³ – 125n³ – 30mn) is:

**Answer: (1) 8**

** Explanation:-**

m -5n = 2

Cube on both side,

(m – 5n)^{3} = 2^{3} ……………… (1)

m^{3} – 125n^{3} – 3 x m x 5n (m – 5n)

m^{3} – 125n^{3} – 15mn x 2 = 8 (From equation 1)

m^{3} – 125n^{3} – 30 mn = 8

Then, the value of (m^{3} – 125n^{3} – 30mn) is 8.

Hence, the answer is (1) 8.