几道初二分解因式,不是很难

来源：百度知道 编辑：UC知道 时间：2024/07/04 18:02:56
x^3-9ax^2+27a^2x-27a^3
x(b+c-d)-y(d-b-c)-2c+2d-2b
3m(m-n)+6n(n-m)
要过程的,求求大家帮忙

1.解：原式=(x-3a)^3

2.解：原式=x(b+c-d)+y(b+c-d)-2(b+c-d)
=(x+y-2)(b+c-d)

3.解：原式=3m(m-n)-6n(m-n)
=(3m-6n)(m-n)
=3(m-2n)(m-n)

1.(x-3a)^3
2.(x+y-2)(b+c-d)
3.3(m-n)(m-2n)

1.x^3-9ax^2+27a^2x-27a^3 =(x^3-27a^3)+27a^2x-9ax^2
=(x-3a)(x^2+3ax+9a^2)+9ax*(3a-x)
=(x-3a)(x^2+3ax+9a^2-9ax)
=(x-3a)^3
2.x(b+c-d)-y(d-b-c)-2c+2d-2b=(x+y-2)b+(x+y-2)c-(x+y-2)d
=(x+y-2)(b+c-d)
3.3m(m-n)+6n(n-m)=(m-n)(3m-6n)
=3(m-n)(m-2n)