分解因式难度中等的一些题目1.4x^2-14x+62.3x^2+5xy-2y^2+xz+9yz-4z^23.xy(xy+1)+(xy+3)-2(x+y+1/2)-(x+y-1)^24.(x^2+5x+6)(x^2+7x+6)-3x^25.(x^2+3x+2)(4x^2+8x+3)-90并署名

分解因式难度中等的一些题目1.4x^2-14x+62.3x^2+5xy-2y^2+xz+9yz-4z^23.xy(xy+1)+(xy+3)-2(x+y+1/2)-(x+y-1)^24.(x^2+5x+6)(x^2+7x+6)-3x^25.(x^2+3x+2)(4x^2+8x+3)-90并署名
分解因式难度中等的一些题目
1.4x^2-14x+6
2.3x^2+5xy-2y^2+xz+9yz-4z^2
3.xy(xy+1)+(xy+3)-2(x+y+1/2)-(x+y-1)^2
4.(x^2+5x+6)(x^2+7x+6)-3x^2
5.(x^2+3x+2)(4x^2+8x+3)-90
并署名

分解因式难度中等的一些题目1.4x^2-14x+62.3x^2+5xy-2y^2+xz+9yz-4z^23.xy(xy+1)+(xy+3)-2(x+y+1/2)-(x+y-1)^24.(x^2+5x+6)(x^2+7x+6)-3x^25.(x^2+3x+2)(4x^2+8x+3)-90并署名
我发好了

1.2(x-3)(2x-1)
2.(2x+3y)(x+y)+(x+2z)(x-z)+(5y-z)(y+2z)

1.4x^2-14x+6 =(x-3)(4x-2)十字相乘法
3.xy(xy+1)+(xy+3)-2(x+y+1/2)-(x+y-1)^2
=xy(xy+1)+(xy+1)+2-2(x+y)-1-(x+y)²+2(x+y-1)-1
=(xy+1)²-(x+y)²-2

1.4x^2-14x+6 = 2(2x^2-7x+3) =2(x-3)(2x-1)
2.3x^2+5xy-2y^2+xz+9yz-4z^2 =(3x-y)(x+2y)
3.xy(xy+1)+(xy+3)-2(x+y+1/2)-(x+y-1)^2
= (xy)^2+xy +xy +3 -2x-2y-1-x^2-y^2-2xy+2x+2y-1
=（xy）^2 -...

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1.4x^2-14x+6 = 2(2x^2-7x+3) =2(x-3)(2x-1)
2.3x^2+5xy-2y^2+xz+9yz-4z^2 =(3x-y)(x+2y)
3.xy(xy+1)+(xy+3)-2(x+y+1/2)-(x+y-1)^2
= (xy)^2+xy +xy +3 -2x-2y-1-x^2-y^2-2xy+2x+2y-1
=（xy）^2 -x^2-y^2 +1 =x^2(y^2-1)-(y^2-1) = (x+1)（x-1）(y+1)(y-1)
4.(x^2+5x+6)(x^2+7x+6)-3x^2
=
5.(x^2+3x+2)(4x^2+8x+3)-90
好麻烦的题目。。。。

收起

1.2(x-3)(2x-1)
2.(3x-y+4z)(x+2y-z)
3.化简得：x²y²-x²-y²+1=(x²-1)（y²-1）=(x+1)(x-1)(y+1)(y-1)

1.2(x-3)(2x-1)
2.(x+2y-z)(3x-y+4z)
3.(x+1)(y+1)(x-1)(y-1)
4.(x^2+6x+8)(x^2+4x+6)
5.(x-1)(4x^3+24x^2+59x+84)

1.4x^2-14x+6
=2(2x^2-7x+3)
=2(2x-1)(x-3)
2.3x^2+5xy-2y^2+xz+9yz-4z^2
=(3x-y)(x+2y)+(xz+9yz)-4z^2
=(3x-y+4z)(x+2y-z)
3.xy(xy+1)+(xy+3)-2(x+y+1/2)-(x+y...

全部展开

1.4x^2-14x+6
=2(2x^2-7x+3)
=2(2x-1)(x-3)
2.3x^2+5xy-2y^2+xz+9yz-4z^2
=(3x-y)(x+2y)+(xz+9yz)-4z^2
=(3x-y+4z)(x+2y-z)
3.xy(xy+1)+(xy+3)-2(x+y+1/2)-(x+y-1)^2
=(xy)^2+xy+xy+3-2(x+y)^2-1-(x+y)^2+2(x+y)-1
=(xy)^2+2xy+1-(x+y)^2
=(xy+1)^2-(x+y)^2
=(xy+1+x+y)(xy+1-x-y)
4.(x^2+5x+6)(x^2+7x+6)-3x^2
=(x^2+6+5x)(x^2+6+7x)-3x^2
=(x^2+6)^2+12x(x^2+6)+35x^2-3x^2
=(x^2+6)^2+12x(x^2+6)+32x^2
=(x^2+6+4x)(x^2+6+8x)
5.(x^2+3x+2)(4x^2+8x+3)-90
=(x+1)(x+2)(2x+3)(2x+1)-90
=(x+1)(2x+3)(x+2)(2x+1)-90
=(2x^2+5x+3)(2x^2+5x+2)-90
=(2x^2+5x)^2+5(2x^2+5x)+6-90
=(2x^2+5x)^2+5(2x^2+5x)-84
=(2x^2+5x+12)(2x^2+5x-7)
=(2x^2+5x+12)(2x+7)(x-1)

收起

2(x-3)(2x-1)