ExamVeda
Login
Home
This question belongs to Arithmetic Ability Algebra
Algebra
?

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

Answer & Solution
Correct Answer: Option C
$$\eqalign{ & {\text{Given, }}m - 5n = 2 \cr & {\text{Find, }}{m^3} - 125{n^3} - 30mn \cr & \Rightarrow m - 5n = 2 \cr & \left( {{\text{Cubing both sides}}} \right) \cr & \Rightarrow {\left( {m - 5n} \right)^3} = {2^3} \cr & \Rightarrow {m^3} - 125{n^3} - 3m \times 5n\left( {m - 5n} \right) = 8 \cr & \Rightarrow {m^3} - 125{n^3} - 15mn \times 2 = 8 \cr & \Rightarrow {m^3} - 125{n^3} - 30mn = 8 \cr} $$
Examveda
Question posted by Examveda
Community

Join the Discussion

No comments yet Be the first to discuss this question.