Question

分解因式。

①﹣8a的三次方b²＋12ab的三次方c－6a²b
②3a（x－y）＋9（y－x）
③（2m－3n）²－2m＋3n
④16mn的四次方－m

Answer 1

（1）-8a^3b^2+12ab^3c-6a^2b
=ab(-8a^2b+12b^2c-6a)
(2)(x-y)(3a-9)
(3)（2m-3n)^2-(2m-3n)
=(2m-3n)(2m-3n-1)
(4)16mn^4-m=m(16n^4-1)=m(4n^2-1)(4n^2+1）=m(2n-1)(2n+1)(4n^2+1)

Answer 2

①-8a^3b^2+12ab^3c-6a^2b=-2ab(4a^2b-6b^2c+3a)
②3a(x-y)-9(x-y)=3(x-y)(a-3)
③（2m－3n）²－(2m-3n)=(2m-3n)(2m-3n-1)
④16mn^4－m=m(16n^4-1)=m(4n^2+1)(4n^2-1)=m(4n^2+1)(2n+1)(2n-1)

Answer 3

1.-2ab(4a^2b+6b^2-3a)
2.3(a-3)（x-y）
3.(2m-3n-1)(2m-3n)
4.m(4n^2+1)(2n+1)(2n-1)