Quantitative Aptitude Ques 764

Question: If $ m+n=-,2, $ then the value of $ m^{3}+n^{3}-6mn $ is

Options:

A) $ 8 $

B) $ 4 $

C) $ -8 $

D) $ -4 $

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ m^{3}+n^{3}-6mn $ $ =(m+n)(m^{2}+n^{2}-mn)-6mn $ $ =(-2)(m^{2}+n^{2}-mn)-6mn $ $ =-,2m^{2}-2n^{2}+2mn-6mn $ $ =-2(m^{2}+n^{2}+2mn) $ $ =-,2{{(m+n)}^{2}} $ $ =-,2{{(-,2)}^{2}}=-,2\times 4=-,8 $