The value of \[\frac{{{\left( {{a}^{2}}-{{b}^{2}} \right)}^{3}}{{\left( {{b}^{2}}-{{c}^{2}} \right)}^{3}}+{{\left( {{c}^{2}}-{{a}^{2}} \right)}^{3}}}{{{\left( a-b \right)}^{3}}+{{\left( b-c \right)}^{3}}+{{\left( c-a \right)}^{3}}}\]is

\[3\left( a+b \right)\left( b+c \right)\left( c+a \right)\]

\[3\left( a-b \right)\left( b-c \right)\left( c-a \right)\]

\[(a-b)\left( b-c \right)\left( c-a \right)\]

\[\left( a+b \right)\left( b+c \right)\left( c+a \right)\]

The value of \[\frac{{{\left( {{a}^{2}}-{{b}^{2}} \right)}^{3}}{{\left

1.	The value of \[\frac{{{\left( {{a}^{2}}-{{b}^{2}} \right)}^{3}}{{\left( {{b}^{2}}-{{c}^{2}} \right)}^{3}}+{{\left( {{c}^{2}}-{{a}^{2}} \right)}^{3}}}{{{\left( a-b \right)}^{3}}+{{\left( b-c \right)}^{3}}+{{\left( c-a \right)}^{3}}}\]is
A.	\[3\left( a+b \right)\left( b+c \right)\left( c+a \right)\]
B.	\[3\left( a-b \right)\left( b-c \right)\left( c-a \right)\]
C.	\[(a-b)\left( b-c \right)\left( c-a \right)\]
D.	\[\left( a+b \right)\left( b+c \right)\left( c+a \right)\]
Answer» E.

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The value of \[\frac{{{\left( {{a}^{2}}-{{b}^{2}} \right)}^{3}}{{\left( {{b}^{2}}-{{c}^{2}} \right)}^{3}}+{{\left( {{c}^{2}}-{{a}^{2}} \right)}^{3}}}{{{\left( a-b \right)}^{3}}+{{\left( b-c \right)}^{3}}+{{\left( c-a \right)}^{3}}}\]is

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