幫忙做做,多項式分解為因式

2010-09-29 4:17 am
a) 9mx - 96ny + 144my -6nx

答案是: 3(3m -2n) (x+16y) ( 但我計唔到此答案)




b) 16m(2次方)y - 6m(2次方)x - 3mx + 8my

答案是: m(8y-3x)(2m+1) (我又是計唔到此答案)


幫忙做做,多項式分解為因式(請逐行列式)

回答 (1)

2010-09-29 4:24 am
✔ 最佳答案
a) 9mx - 96ny + 144my -6nx= (9mx + 144my) - (6nx + 96ny)= 9m(x + 16y) - 6n(x + 16y)= (9m - 6n)(x + 16y)= 3(3m - 2n)(x + 16y)b)16(m^2)y - 6(m^2)x - 3mx + 8my= 16(m^2)y + 8my - [6(m^2)x + 3mx]= 8my(2m + 1) - 3mx(2m + 1)= (8my - 3mx) (2m + 1)= m(8y - 3x)(2m + 1)


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