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
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