Math, asked by Lallermani, 1 year ago

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Answered by rohitkumargupta
10
 \frac{x^{a} }{x^{b} } ^{( {a}^{2} + ab + {b}^{2} ) } \times { \frac{x ^{b} }{x^{c}}} ^{( {b}^{2} + bc + {c}^{2}) } \times { \frac{x^{c} }{x^{a} } }^{( {c}^{2} + ac + {a}^{2}) } \\ \\ \\ = > {x } ^{(a - b)( {a}^{2} + ab + {b}^{2} ) } \times { {x}} ^{( b - c)({b}^{2} + bc + {c}^{2}) } \times { {x}}^{( c - a)({c}^{2} + ac + {a}^{2}) }

now using

(x³ - y³) = (x - y)(x² + xy + y²)



\\ \\ \\ = > {x}^{ {a}^{3} - {b}^{3} + {b}^{3} - {c}^{3} + {c}^{3} - {a}^{3} } \\ \\ \\ = > {x}^{0} = 1


I HOPE ITS HELP YOU DEAR,
THANKS

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