4x^2y-3x62-4xy^2因式分解练习题...

来源：蜘蛛抓取(WebSpider) 时间：2011-08-26 04:15 标签： 因式分解练习题
3x^2+4xy-2y^2怎么分解因式 ?_百度知道
3x^2+4xy-2y^2怎么分解因式 ?
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3）［（3x）^2＋2×（3x）（2y）＋（2y）^2－（2y）^2－6y^2］＝（1/3）［（3x＋2y）^2－（√10y）^2］＝（1&#473x^2＋4xy－2y^2＝（1/3）（9x^2＋12xy－6y^2）＝（1&#47
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3)y^2=3(x+2/3y)-根号10/3y}=3{(x+2/3y}{(x+2/3y)+根号10/3y)-根号30&#473x^2+4xy-2y^2=3(x^2+4/3y}{根号3(x+2/3y^2={根号3(x+2/3y)+根号30/3y)^2-10/9y^2)-(2+4/3xy+4&#47
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出门在外也不愁分解因式1.x^4-4x^3+5x^2+x-62.双十字相乘：(1)6x^2-13xy+2y^2+16x+y-6(2)6x^2-5xy-6y^2-2xz-23yz-20z^2_百度作业帮
分解因式1.x^4-4x^3+5x^2+x-62.双十字相乘：(1)6x^2-13xy+2y^2+16x+y-6(2)6x^2-5xy-6y^2-2xz-23yz-20z^2
1.x^4-4x^3+5x^2+x-62.双十字相乘：(1)6x^2-13xy+2y^2+16x+y-6(2)6x^2-5xy-6y^2-2xz-23yz-20z^2
1.x^4-4x^3+5x^2+x-6=(x^2-4x+4)x^2+(x^2+x-6)=(x-2)^2+(x-2)(x+3)=(x-2)(x-2+x+3)=(x-2)(2x+1)2.双十字相乘：(1)6x^2-13xy+2y^2+16x+y-6=6x^2+(16-13y)x+(2y^2+y-6) =6x^2+(16-13y)x+(2y-3)(y+2)=(-x+2y-3)(-6x+y+2)(2)6x^2-5xy-6y^2-2xz-23yz-20z^2=6x^2-(5y+2z)x-(6y^2+23yz+20z^2)=6x^2-(5y+2z)x-(3y+4z)(2y+5z)=6x^2+(-5y-2z)x+(-3y-4z)(2y+5z)=(2x-3y-4z)(3x+2y+5z)
用平方差分 1-4（2x+3)^2=[1-2(2x+3)][1+2(2x+3)]=-(4x2; =01.已知:x+y=1,xy=-1/2,利用因式分解求:x(x+y)(x+y)-x(
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三道因式分解
1)3x^2+5xy-2y^2+x+9y-4
=3x^2+(5y+1)x-(2y^2-9y+4)[2y-9y+4=(2y-1)(y-4)]
=3x^2+[3(2y-1)-(y-4)]x+3(2y-1)[-(y-4)]
=(x+2y-1)(3x-y+4)
2)(x^2+3x+2)(x^2+7x+12)-120
=(x+1)(x+2)(x+3)(x+4)-120
=(x^2+5x+4)(x^2+5x+6)-120
=(x^2+5x+4)[(x^2+5x+4)+2]-120
=(x^2+5x+4)^2+2(x^2+5x+4)-120
=(x^2+5x+4-10)(x^2+5x+4+12)
=(x^2+5x-6)(x^2+5x+16)
=(x-1)(x+6)(x^2+5x+16)
3)xy(xy+1)+(xy+3)-2(x+y+1/2)-(x+y-1)^2
=x^2y^2+2xy+3-2(x+y)-1-(x+y)^2+2(x+y)-1
=(xy+1)^2-(x+y)^2
=(xy-x-y+1)(xy+x+y+1)
=(x-1)(y-1)(x+1)(y+1)
huangcizheng
第一题因为是二次式，可以用你的办法分解因式，第二、三题因为不是二次式，是不能用你的方法分解的。
您的举报已经提交成功，我们将尽快处理，谢谢！
大家还关注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_百度作业帮
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
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
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)&sup2;+2(x+y-1)-1 =(xy+1)&sup2;-(x+y)&sup2;-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 -...
1.2(x-3)(2x-1) 2.(3x-y+4z)(x+2y-z) 3.化简得：x&sup2;y&sup2;-x&sup2;-y&sup2;+1=(x&sup2;-1)（y&sup2;-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...
2(x-3)(2x-1)
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