a4 + b4 + c4 - 2a2b2 - 2b2c2 - 2c2a2 =-(a + b + c)(-a + b + c)(a

a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
=−(a + b + c)(−a + b + c)(a − b + c)(a + b − c)
시작
http://min7014.iptime.org, E-mail :[email protected]
민은기 선생님
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
=−(a + b + c)(−a + b + c)(a − b + c)(a + b − c)
시작
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
http://min7014.iptime.org, E-mail :[email protected]
민은기 선생님
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
=−(a + b + c)(−a + b + c)(a − b + c)(a + b − c)
시작
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
= a4 − (2b2 + 2c2 )a2 + (b4 − 2b2 c2 + c4 )
http://min7014.iptime.org, E-mail :[email protected]
민은기 선생님
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
=−(a + b + c)(−a + b + c)(a − b + c)(a + b − c)
시작
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
= a4 − (2b2 + 2c2 )a2 + (b4 − 2b2 c2 + c4 )
= a4 − (2b2 + 2c2 )a2 + (b2 − c2 )2
http://min7014.iptime.org, E-mail :[email protected]
민은기 선생님
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
=−(a + b + c)(−a + b + c)(a − b + c)(a + b − c)
시작
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
= a4 − (2b2 + 2c2 )a2 + (b4 − 2b2 c2 + c4 )
= a4 − (2b2 + 2c2 )a2 + (b2 − c2 )2
= a4 − (2b2 + 2c2 )a2 + {(b + c)(b − c)}2
http://min7014.iptime.org, E-mail :[email protected]
민은기 선생님
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
=−(a + b + c)(−a + b + c)(a − b + c)(a + b − c)
시작
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
= a4 − (2b2 + 2c2 )a2 + (b4 − 2b2 c2 + c4 )
= a4 − (2b2 + 2c2 )a2 + (b2 − c2 )2
= a4 − (2b2 + 2c2 )a2 + {(b + c)(b − c)}2
= a4 − (2b2 + 2c2 )a2 + (b + c)2 (b − c)2
http://min7014.iptime.org, E-mail :[email protected]
민은기 선생님
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
=−(a + b + c)(−a + b + c)(a − b + c)(a + b − c)
시작
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
= a4 − (2b2 + 2c2 )a2 + (b4 − 2b2 c2 + c4 )
= a4 − (2b2 + 2c2 )a2 + (b2 − c2 )2
= a4 − (2b2 + 2c2 )a2 + {(b + c)(b − c)}2
= a4 − (2b2 + 2c2 )a2 + (b + c)2 (b − c)2
= a4 − (2b2 + 2c2 )a2 + (b2 + 2bc + c2 )(b2 − 2bc + c2 )
http://min7014.iptime.org, E-mail :[email protected]
민은기 선생님
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
=−(a + b + c)(−a + b + c)(a − b + c)(a + b − c)
시작
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
= a4 − (2b2 + 2c2 )a2 + (b4 − 2b2 c2 + c4 )
= a4 − (2b2 + 2c2 )a2 + (b2 − c2 )2
= a4 − (2b2 + 2c2 )a2 + {(b + c)(b − c)}2
= a4 − (2b2 + 2c2 )a2 + (b + c)2 (b − c)2
= a4 − (2b2 + 2c2 )a2 + (b2 + 2bc + c2 )(b2 − 2bc + c2 )
= {a2 − (b2 + 2bc + c2 )}{a2 − (b2 − 2bc + c2 )}
http://min7014.iptime.org, E-mail :[email protected]
민은기 선생님
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
=−(a + b + c)(−a + b + c)(a − b + c)(a + b − c)
시작
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
= a4 − (2b2 + 2c2 )a2 + (b4 − 2b2 c2 + c4 )
= a4 − (2b2 + 2c2 )a2 + (b2 − c2 )2
= a4 − (2b2 + 2c2 )a2 + {(b + c)(b − c)}2
= a4 − (2b2 + 2c2 )a2 + (b + c)2 (b − c)2
= a4 − (2b2 + 2c2 )a2 + (b2 + 2bc + c2 )(b2 − 2bc + c2 )
= {a2 − (b2 + 2bc + c2 )}{a2 − (b2 − 2bc + c2 )}
= {a2 − (b + c)2 }{a2 − (b − c)2 }
http://min7014.iptime.org, E-mail :[email protected]
민은기 선생님
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
=−(a + b + c)(−a + b + c)(a − b + c)(a + b − c)
시작
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
= a4 − (2b2 + 2c2 )a2 + (b4 − 2b2 c2 + c4 )
= a4 − (2b2 + 2c2 )a2 + (b2 − c2 )2
= a4 − (2b2 + 2c2 )a2 + {(b + c)(b − c)}2
= a4 − (2b2 + 2c2 )a2 + (b + c)2 (b − c)2
= a4 − (2b2 + 2c2 )a2 + (b2 + 2bc + c2 )(b2 − 2bc + c2 )
= {a2 − (b2 + 2bc + c2 )}{a2 − (b2 − 2bc + c2 )}
= {a2 − (b + c)2 }{a2 − (b − c)2 }
= {a + (b + c)}{a − (b + c)}{a + (b − c)}{a − (b − c)}
http://min7014.iptime.org, E-mail :[email protected]
민은기 선생님
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
=−(a + b + c)(−a + b + c)(a − b + c)(a + b − c)
시작
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
= a4 − (2b2 + 2c2 )a2 + (b4 − 2b2 c2 + c4 )
= a4 − (2b2 + 2c2 )a2 + (b2 − c2 )2
= a4 − (2b2 + 2c2 )a2 + {(b + c)(b − c)}2
= a4 − (2b2 + 2c2 )a2 + (b + c)2 (b − c)2
= a4 − (2b2 + 2c2 )a2 + (b2 + 2bc + c2 )(b2 − 2bc + c2 )
= {a2 − (b2 + 2bc + c2 )}{a2 − (b2 − 2bc + c2 )}
= {a2 − (b + c)2 }{a2 − (b − c)2 }
= {a + (b + c)}{a − (b + c)}{a + (b − c)}{a − (b − c)}
= (a + b + c)(a − b − c)(a + b − c)(a − b + c)
http://min7014.iptime.org, E-mail :[email protected]
민은기 선생님
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
=−(a + b + c)(−a + b + c)(a − b + c)(a + b − c)
시작
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
= a4 − (2b2 + 2c2 )a2 + (b4 − 2b2 c2 + c4 )
= a4 − (2b2 + 2c2 )a2 + (b2 − c2 )2
= a4 − (2b2 + 2c2 )a2 + {(b + c)(b − c)}2
= a4 − (2b2 + 2c2 )a2 + (b + c)2 (b − c)2
= a4 − (2b2 + 2c2 )a2 + (b2 + 2bc + c2 )(b2 − 2bc + c2 )
= {a2 − (b2 + 2bc + c2 )}{a2 − (b2 − 2bc + c2 )}
= {a2 − (b + c)2 }{a2 − (b − c)2 }
= {a + (b + c)}{a − (b + c)}{a + (b − c)}{a − (b − c)}
= (a + b + c)(a − b − c)(a + b − c)(a − b + c)
= −(a + b + c)(−a + b + c)(a − b + c)(a + b − c)
http://min7014.iptime.org, E-mail :[email protected]
민은기 선생님
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
=−(a + b + c)(−a + b + c)(a − b + c)(a + b − c)
처음
a4 + b4 + c4 − 2a2 b2 − 2b2 c2 − 2c2 a2
= a4 − (2b2 + 2c2 )a2 + (b4 − 2b2 c2 + c4 )
= a4 − (2b2 + 2c2 )a2 + (b2 − c2 )2
= a4 − (2b2 + 2c2 )a2 + {(b + c)(b − c)}2
= a4 − (2b2 + 2c2 )a2 + (b + c)2 (b − c)2
= a4 − (2b2 + 2c2 )a2 + (b2 + 2bc + c2 )(b2 − 2bc + c2 )
= {a2 − (b2 + 2bc + c2 )}{a2 − (b2 − 2bc + c2 )}
= {a2 − (b + c)2 }{a2 − (b − c)2 }
= {a + (b + c)}{a − (b + c)}{a + (b − c)}{a − (b − c)}
= (a + b + c)(a − b − c)(a + b − c)(a − b + c)
= −(a + b + c)(−a + b + c)(a − b + c)(a + b − c)
http://min7014.iptime.org, E-mail :[email protected]
민은기 선생님