A) \( \Large l^{2}+m^{2}+n^{2}-lm-mn-ln \) |
B) \( \Large l^{2}+m^{2}+n^{2}+lm+mn-ln \) |
C) \( \Large l^{2}+m^{2}+n^{2}+lm+mn+ln \) |
D) \( \Large l^{2}-m^{2}+n^{2}-lm-mn+ln \) |
B) \( \Large l^{2}+m^{2}+n^{2}+lm+mn-ln \) |
We Know,
\( \Large l^{3}-m^{3}+n^{3}+3lmn \)
= \( \Large \left(l-m+n\right) \left(l^{2}+m^{2}+n^{2}+lm+mn-ln\right) \)
This shows that when \( \Large l^{3}-m^{3}+n^{3}+3lmn \)is
divided by \( \Large \left(l-m+n\right) \) ,
the quotient is \( \Large \left(l^{2}+m^{2}+n^{2}+lm+mn-ln\right) \) .