Simplify: (a−b)3+(b−c)3+(c−a)3(a2−b2)3+(b2−c2)3+(c2−a2)3

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Simplify: {{{({a}^{{2}}-{b}^{{2}})}^{{3}}+{({b}^{{2}}-{c}^{{2}

Question

Simplify: $\frac{( a ^{2} - b ^{2} ) ^{3} + ( b ^{2} - c ^{2} ) ^{3} + ( c ^{2} - a ^{2} ) ^{3}}{( a - b ) ^{3} + ( b - c ) ^{3} + ( c - a ) ^{3}}$

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Simplify:

\frac{( a ^{2} - b ^{2} ) ^{3} + ( b ^{2} - c ^{2} ) ^{3} + ( c ^{2} - a ^{2} ) ^{3}}{( a - b ) ^{3} + ( b - c ) ^{3} + ( c - a ) ^{3}}

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Question Text

Simplify:

\frac{( a ^{2} - b ^{2} ) ^{3} + ( b ^{2} - c ^{2} ) ^{3} + ( c ^{2} - a ^{2} ) ^{3}}{( a - b ) ^{3} + ( b - c ) ^{3} + ( c - a ) ^{3}}