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If m - 5n = 2, then the value of (m3 - 125n3 - 30mn) is?
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& {\text{Given, }}m - 5n = 2 \cr
& {\text{Find, }}{m^3} - 125{n^3} - 30mn \cr
& \Rightarrow m - 5n = 2 \cr
& \left( {{\text{Cubing both sides}}} \right) \cr
& \Rightarrow {\left( {m - 5n} \right)^3} = {2^3} \cr
& \Rightarrow {m^3} - 125{n^3} - 3m \times 5n\left( {m - 5n} \right) = 8 \cr
& \Rightarrow {m^3} - 125{n^3} - 15mn \times 2 = 8 \cr
& \Rightarrow {m^3} - 125{n^3} - 30mn = 8 \cr} $$
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