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Mathematics 18 Online
OpenStudy (dls):

Simplify this algebraic expression

OpenStudy (dls):

m^3+l^3+n^3 -3lmn=0

OpenStudy (dls):

@shubhamsrg

OpenStudy (shubhamsrg):

ye to formula hota hai direct

OpenStudy (dls):

kaunsa :P

OpenStudy (shubhamsrg):

l^3 + m^3 + n^3 - 3lmn = (l+m+n)(l^2 + m^2 + n^2 - lm -nl - nm)

OpenStudy (dls):

yeah..i have a smalldoubt in this

OpenStudy (dls):

will both be =0?

OpenStudy (shubhamsrg):

yep..either 1, or both..

OpenStudy (dls):

no..2nd one wont be ?

OpenStudy (shubhamsrg):

if l^2 + m^2 + n^2 = lm + mn + nl hmm we know l^2 + m^2 + n^2 >= 2 (lm + mn + nl) so yes,,it wont be unless all l=m=n = 0

OpenStudy (dls):

yeah..right!

OpenStudy (shubhamsrg):

sorry,,its l^2 + m^2 + n^2 >= lm + mn + nl ,,no 2 there.

OpenStudy (dls):

okay thanks :o i wanted to confirm

OpenStudy (shubhamsrg):

kk,,finally,,am able to help you! :O

OpenStudy (dls):

lol yeah first or 2nd time :P

OpenStudy (shubhamsrg):

:P

OpenStudy (dls):

ab zara ice :P

OpenStudy (shubhamsrg):

bhai,,ratt lo! :P

OpenStudy (dls):

lol

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