3㎡＋4mn－n²因式分解
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3m” + 4mn - n”
= (1/3)[ (3m)” + (3m)(4n) - 3n” ]
= (1/3)[ 9m” + 2(3m)(2n) + 4n” - 7n” ]
= (1/3)[ ( 3m + 2n )” - ( √7n )” ]
= (1/3)( 3m + 2n - √7n )( 3m + 2n + √7n )
= (1/3)[ (3m)” + (3m)(4n) - 3n” ]
= (1/3)[ 9m” + 2(3m)(2n) + 4n” - 7n” ]
= (1/3)[ ( 3m + 2n )” - ( √7n )” ]
= (1/3)( 3m + 2n - √7n )( 3m + 2n + √7n )
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