分解因式:[y² 3y]-[2y 6]²-搜答案-搜搜做题作业网

-y²/9-1+2y/3＝-（y²/9-2y/3+1）＝-(y/3-1)^2

x²-4y²+x-2y=(x²-4y²)+(x-2y)=(x-2y)(x+2y)+(x-2y)=(x-2y)(x+2y+1)很高兴为您解答,祝你学习进步!【学习

a(y-x)-2b(x-y)=a(y-x)+2b(y-x)=(y-x)(a+2b)

=(x-3y)²-3(x-3y)=(x-3y)(x-3y-3)

x²(3x+2y)²-y²(2x+3y)²=[x(3x+2y)-y(2x+3y)][x(3x+2y)+y(2x+3y)]=(3x²+2xy-2xy-3

1-6y+y² 分解因式

1-6y+y²＝y²－6y＋9－8＝﹙y－3﹚²－8＝﹙y－3－2√2﹚﹙y－3＋2√2﹚.

2.6x²-13xy+6y²+22x-23y+20=(2x-3y)(3x-2y)+22x-23y+4×5=(2x-3y+4)(3x-2y+5)3.(x²+4x+8)

x^2-x-4y^2+2y=(x^2-4y^2)-(x-2y)=(x+2y)(x-2y)-(x-2y)=(x-2y)(x+2y-1)

利用a^3+b^3=(a+b)(a^2-ab+b^2)=(a+b)((a-b)^2+ab)其中125(x-y)^3=(5x-5y)^3为方便计算令2x-3y=a;3x-2y=b;5x-5y=c且a+b

原式=x(x²y+3)-2y(x²y+3)=(x²y+3)(x-2y)

(x+3y)(x-y)

原式=[3(x+y)]²-(x-y)²=[3(x+y)+(x-y)][3(x+y)-(x-y)]=(4x+2y)(2x+4y)=4(2x+y)(x+2y)

x^2-xy+y^2 分解因式

你的式子是无法分解的,已经是最简代数式了x^2-xy+y^2=（x-y/2）^2+3y^2/4恒大于0,无法分解

原式=(x+y)(x-y)[(x+y)(x-y)-(x²+y²)]=(x+y)(x-y)(x²-y²-x²-y²)=-2y²(x+

=2x平方+xy-3y平方-3(x平方-4y平方)=-x平方+xy+9y平方

(x+y)^4+(x+y)^2-20＝[﹙x＋y﹚²＋5﹚][﹙x＋y﹚²－4]＝﹙x²＋2xy＋y²＋5﹚﹙x＋y－2﹚﹙x＋y＋2﹚

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

:a(3x+9y)-x-3y=3a(x+3y)-(x+3y)=(3a-1))(x+3y)

用提取公因式法,提取（x+3y)原式=（x+3y)[(3x-4y)-(x-2y)]=(x+3y)(2x-2y)=2(x+3y)(x-y)

(x+2y)²+x+2y=（x+2y)²+(x+2y)=(x+2y)(x+2y+1）