几道因式分解,快,现在就要啊!!!

来源:百度知道 编辑:UC知道 时间:2024/05/29 05:34:49
1.(3x^2+2x-8)^2-(x^2-2x-8)^2
2.(x-1)(x-2y-1)+y^2

1.(3x^2+2x-8)^2-(x^2-2x-8)^2
=[(3x^2+2x-8)+(x^2-2x-8)][(3x^2+2x-8)-(x^2-2x-8)]
=(3x^2+2x-8+x^2-2x-8)(3x^2+2x-8-x^2+2x+8)
=(4x^2-16)(2x^2+4x)
=8(x^2-4)(x^2+2x)
=8x(x-2)(x+2)^2

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

1.(3x^2+2x-8)^2-(x^2-2x-8)^2
=(3x^2+2x-8+x^2-2x-8)(3x^2+2x-8-x^2+2x+8)
=(4x^2-16)(2x^2+4x)
=8x(x^2-16)(x+2)
=8x(x-4)(x+4)(x+2)
2.(x-1)(x-2y-1)+y^2
=(x-1)[(x-1)-2y]+y^2
=(x-1)^2-2y(x-1)+y^2
=(x-y-1)^2

1.(3x^2+2x-8)^2-(x^2-2x-8)^2
=(3x^2+2x-8+x^2-2x-8)*(3x^2+2x-8-x^2+2x+8)
=(4x^2-16)(2x^2+4x)
=8(x-2)(x+2)(x+2)x
2.(x-1)(x-2y-1)+y^2
=x^2-2xy-x-x+2y+1+y^2
=x^2-2xy+y^2-2(x-y)+1
=(x-y)^2-2(x-y)+1
=(x-y-1)^2

1.(3x^2+2x-8)^2-(x^2-2x-8)^2
=(3x^2+2x-8+x^2-2x-8)(3x^2+2x-8-x^2+2x+8)
=(4x^2-16)(2x^2+4x)
=8x(x^2-16)(x+2)
=8x(x-4)(x+4)(x+2)
2.(x-1)(x-2y-1)+y^2
=(x