因式分解几道，帅锅们速度啊！！！

来源：百度知道 编辑：UC知道 时间：2024/06/05 20:49:35
1. 2x^2-5x-3
2. 6x^2-13x-5
3. 6x^2+17x-3
4. 3(x-y)^2+11(y-x)-4
5. 9(y^2-6)^2-6(y^2-6)+9
我确定每道都没打错.速度!!

1. 2x^2-5x-3
=(2x^2+x)-(6x+3)
=x(2x+1)-3(2x+1)
=(2x+1)(x-3)

2. 6x^2-13x-5
=6x^2+2x-15x-5
=2x(3x+1)-5(3x+1)
=(2x-5)(3x+1)

3. 6x^2+17x-3
=6x^2+18x-x-3
=6x(x+3)-(x+3)
=(x+3)(6x-1)

4. 3(x-y)^2+11(y-x)-4
=3(x-y)^2-11(x-y)-4
=[3(x-y)+1][(x-y)-4]
=(3x+3y+1)(x-y-4)

5. 9(y^2-6)^2-6(y^2-6)+9
=3[3(y^2-6)^2-2(y^2-6)+3]
=3(3y^4-38y^2+123)

1.2x^2-5x-3=(2x+1)*(x-3)
2.6x^2-13x-5=(3x+1)*(2x-5)
3.6x^2+17x-3=(6x-1)*(x+3)
4.3(x-y)^2+11(y-x)-4=(3x-3y+1)*(x-y-4)
5.9(y^2-6)^2-6(y^2-6)+9=3(3y^4-38y^2+123)

1.
(2x+1)(x-3)
2.
(2x-5)(3x+1)
3.
(6x-1)(x+3)
4.
(3x-3y-1)(x-y+4)
5.
没问题？

2x^2-5x-3
=(2x+1)(x-3)

6x^2-13x-5
=(2x-5)(3x+1)

6x^2+17x-3
=(6x-1)(x+3)

3(x-y)^2+11(y-x)-4
=3(x-y)^2-11(x-y)-4
=[3(x-y)+1)][(x-y)-4]
=(3x-3y+1)(x-y-4)

9(y