mp-12nr-8nq+2mq+3mr-4np,,點factorize..?做到一半唔色..

2006-11-06 8:02 pm
mp-12nr-8nq+2mq+3mr-4np
=(mp+2mq+3mr)-(12nr-8nq-4np)
=m(p+2q+3r)-4n(3r-2q-p)
=????????
使唔使轉符號呀???

回答 (5)

2006-11-06 8:07 pm
✔ 最佳答案
mp-12nr-8nq+2mq+3mr-4np
=p(m-4n)+2q(m-4n)+3r(m-4n)
=(p+2q+3r)(m-4n)
2006-11-06 9:09 pm
第二行寫錯正負號
mp - 12nr - 8nq + 2mq + 3mr - 4np
= ( mp + 2mq + 3mr ) - ( 12nr - 8nq - 4np )

應該是這樣
mp - 12nr - 8nq + 2mq + 3mr - 4np
= ( mp + 2mq + 3mr ) + ( - 12nr - 8nq - 4np ) 先group埋一起
= ( mp + 2mq + 3mr ) - ( 12nr + 8nq + 4np ) 然後再抽正負號才對
= m ( p + 2q + 3r ) - 4n ( 3r + 2q + p )
= ( m - 4n ) ( 3r + 2q + p )
2006-11-06 8:15 pm
(mp + 2mq + 3mr) - (4np - 8nq - 12nr)
= m(p + 2q + 3r) - 4n(p + 2q + 3r)
= (m - 4n)(p + 2q + 3r)
2006-11-06 8:15 pm
mp-12nr-8nq+2mq+3mr-4np
=mp+2mq+3mr-12nr-8nq-4np
=m(p+2q+3r)-4n(3r+2q+p)
=m(p+2q+3r)-4n(p+2q+3r)
=(m-4n)(p+2q+3r)
你之所以計算到,是因為你在起初計算時出現了少少錯誤
參考: ME
2006-11-06 8:10 pm
mp-12nr-8nq+2mq+3mr-4np
=-4n(3r+2q+p)+m(3r+2q+p)
=(m-4n)(3r+2q+p)


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