在下列五个多项式中,哪些再有理数范围内可以进行因式分解?并写书因式分解过程(大家快点!谢谢)

2024-11-07 11:34:34
推荐回答(3个)
回答1:

(1)3m(m-n)+6n(n-m)
=3(m+2n)(m-n)
(2)x(b+c-d)-y(d-b-c)-2c+2d-2b
=(b+c-d)(x+y-2)
(3)2(x-2)^2+5x-17
=2x^2-8x+8+5x-17
=2x^2-3x-9
不可分解
(4)ab-a-b-a
=ab-2a-b 不可分解了
5)x^3-3x^2+3x-1
=(x-1)^3

回答2:

1 =3(m-n)(m-2n)
2 =(b+c-d)(x+y-2)
5 =(x-1)^3
3 =2x^2-3x-9
=(x-3)(2x+3)

回答3:

1)3m(m-n)+6n(n-m)=3m(m-n)-6n(m-n)=3(m-n)(m-2n)
2)x(b+c-d)-y(d-b-c)-2c+2d-2b=x(b+c-d)+y(b+c-d)+2(b+c-d)=(b+c-d)(x+y+2)