Question

guys ,could you please solve this problem I will mark you as brainlist please immediately now ,this problem you should prove it and the answer is x²(a³+b³+c³).​

Answer 1

ᎯᏁᏕᏯᎬᏒ

$\rm {[ \frac{ {x}^{ {a}^{2} + {b}^{2} } }{ {x}^{ab} } ]}^{(a + b)} \times {[ \frac{ {x}^{ {b}^{2} + {c}^{2} } }{ {x}^{bc} } ] }^{(b + c) } \times {[ \frac{ {x}^{ {c}^{2} + {a}^{2} } }{ {x}^{c} } ] }^{(c + a) }$

$\rm {[{ {x}^{ {a}^{2} + {b}^{2} } }{ { }^{ + ab} } ]}^{(a + b)} \times {[ { {x}^{ {b}^{2} + {c}^{2} } }{ { }^{ + bc} } ] }^{(b + c)} \times {[ { {x}^{ {c}^{2} + {a}^{2} } }{ { }^{ + ca} } ] }^{(c + a)}$

$\rm { {x}^{ ({a}^{3} + {a}^{2}b + {b}^{2} a + {b}^{3} - {a}^{2}b - {b}^{2} a ) } \times {x}^{( {b}^{3} + {b}^{2}c + {c}^{2} b + {c}^{3} - {b}^{2}c - {c}^{2} b ) } \times {x}^{( {c}^{3} + {c}^{2}a + {a}^{2} c + {c}^{3} - {c}^{2}a - {a}^{2} c ) } }$

$\rm {x}^{ ({a}^{3} + {b}^{3}) } \times {x}^{ ({b}^{3} + {a}^{3}) } \times {x}^{ ({c}^{3} + {a}^{3}) }$

$\rm {x}^{( {a}^{3} + {b}^{3} + {b}^{3} + {c}^{3} + {c}^{3} + {a}^{3} ) } =\red{ {x}^{[2( {a}^{3} + {b}^{3} + {c}^{3})]}}$