Question

please help me solve question no 3 of this attachment

Answer 1

Step-by-step explanation:

We have,

$= ( \frac{ {x}^{a} }{ {x}^{b} } )^{ {a}^{2} + ab + {b}^{2} } .( \frac{ {x}^{b} }{ {x}^{c} } )^{ {b}^{2} + bc + {c}^{2} } .( \frac{ {x}^{c} }{ {x}^{a} } )^{ {c}^{2} + ac + {a}^{2} } .$

$= {x}^{(a - b)( {a}^{2} +ab + {b}^{2} )} . {x}^{(b - c)( {b}^{2} +bc + {c}^{2} )} . {x}^{( c - a)( {c}^{2} +ca + {a}^{2} )} .$

$= {x}^{( {a}^{3} - {b}^{3} )} . {x}^{( {b}^{3} - {c}^{3} )} . {x}^{( {c}^{3} - {a}^{3} )}$

$= {x}^{( {a}^{3} - {b}^{3} + {b}^{3} - {c}^{3} + {c}^{3} - {a}^{3} )}$

$= {x}^{0} = 1$

Hope this will help you...!