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 $