question_answer

If a, b are the roots of the equation\[a{{x}^{2}}-2bx+c=0\] then \[{{\alpha }^{3}}{{\beta }^{3}}+{{\alpha }^{2}}{{\beta }^{3}}+{{\alpha }^{3}}{{\beta }^{2}}=\]

A)  \[\frac{{{c}^{2}}\left( 2b+c \right)}{{{a}^{3}}}\]       

B)  \[\frac{b{{c}^{2}}}{{{a}^{3}}}\]

C)  \[\frac{{{c}^{3}}}{{{a}^{3}}}\]                               

D)  \[\frac{{{c}^{3}}(b+2c)}{{{a}^{3}}}\]