If \[\alpha ,\beta \] are the roots of the equation \[l{{x}^{2}}+mx+n=0\], then the equation whose roots are \[{{\alpha }^{3}}\beta \] and \[\alpha {{\beta }^{3}}\] is [MP PET 1997]

\[{{l}^{4}}{{x}^{2}}+nl({{m}^{2}}-2nl)x+{{n}^{4}}=0\]

\[{{l}^{4}}{{x}^{2}}-nl({{m}^{2}}-2nl)x+{{n}^{4}}=0\]

\[{{l}^{4}}{{x}^{2}}+nl({{m}^{2}}-2nl)x-{{n}^{4}}=0\]

\[{{l}^{4}}{{x}^{2}}-nl({{m}^{2}}+2nl)x+{{n}^{4}}=0\]

If \[\alpha ,\beta \] are the roots of the equation \[l{{x}^{2}}+mx+n=

1.	If \[\alpha ,\beta \] are the roots of the equation \[l{{x}^{2}}+mx+n=0\], then the equation whose roots are \[{{\alpha }^{3}}\beta \] and \[\alpha {{\beta }^{3}}\] is [MP PET 1997]
A.	\[{{l}^{4}}{{x}^{2}}-nl({{m}^{2}}-2nl)x+{{n}^{4}}=0\]
B.	\[{{l}^{4}}{{x}^{2}}+nl({{m}^{2}}-2nl)x+{{n}^{4}}=0\]
C.	\[{{l}^{4}}{{x}^{2}}+nl({{m}^{2}}-2nl)x-{{n}^{4}}=0\]
D.	\[{{l}^{4}}{{x}^{2}}-nl({{m}^{2}}+2nl)x+{{n}^{4}}=0\]
Answer» B. \[{{l}^{4}}{{x}^{2}}+nl({{m}^{2}}-2nl)x+{{n}^{4}}=0\]

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If \[\alpha ,\beta \] are the roots of the equation \[l{{x}^{2}}+mx+n=0\], then the equation whose roots are \[{{\alpha }^{3}}\beta \] and \[\alpha {{\beta }^{3}}\] is [MP PET 1997]

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