1.x^2-4y^2+x+2y2.x^2-6x+9-y^23.a^3x^2-c^3x^2-a^3y^2+c^3y^24.x^5-x^3+x^2-15.10a^2x+21xy^2-14ax^2-15ay^2

来源：学生作业帮助网编辑：作业帮时间：2024/05/10 08:03:28

1.x^2-4y^2+x+2y2.x^2-6x+9-y^23.a^3x^2-c^3x^2-a^3y^2+c^3y^24.x^5-x^3+x^2-15.10a^2x+21xy^2-14ax^2-15ay^2
1.x^2-4y^2+x+2y
2.x^2-6x+9-y^2
3.a^3x^2-c^3x^2-a^3y^2+c^3y^2
4.x^5-x^3+x^2-1
5.10a^2x+21xy^2-14ax^2-15ay^2

1.x^2-4y^2+x+2y2.x^2-6x+9-y^23.a^3x^2-c^3x^2-a^3y^2+c^3y^24.x^5-x^3+x^2-15.10a^2x+21xy^2-14ax^2-15ay^2
1
=(x+2y)(x-2y)+x+2y
=(x+2y)(x+2y-1)
2
=(x-3)^3-y^2
=(x+y-3)(x-y-3)
3
=(a^3-c^3)x^2-(a^3-c^3)y^2
=(a^3-c^3)(x^2-y^2)
=(a-c)(a^2+c^2+ac)(x+y)(x-y)
4
=x^3(x^2-1)+x^2-1
=(x^3-1)(x+1)(x-1)
=(x-1)(x^2+x+1)(x+1)(x-1)
=(x-1)^2(x+1)(x^2+x+1)
5
=2ax(5a-7x)+3y^2(5a-7x)
=(5a-7x)(2ax-3y^2)

1.x^2-4y^2+x+2y
=(x+2y)(x-2y)+x+2y
=(x+2y)(x-2y+1)
2.x^2-6x+9-y^2
=(x-3)^2-y^2
=(x+y-3)(x-y-3)
3.a^3x^2-c^3x^2-a^3y^2+c^3y^2
=(a^3-c^3)x^2-(a^3-c^3)y^2
=(a^3-c^...

全部展开

1.x^2-4y^2+x+2y
=(x+2y)(x-2y)+x+2y
=(x+2y)(x-2y+1)
2.x^2-6x+9-y^2
=(x-3)^2-y^2
=(x+y-3)(x-y-3)
3.a^3x^2-c^3x^2-a^3y^2+c^3y^2
=(a^3-c^3)x^2-(a^3-c^3)y^2
=(a^3-c^3)(x^2-y^2)
=(a-c)(a^2+c^2+ac)(x+y)(x-y)
4.x^5-x^3+x^2-1
=x^3(x^2-1)+x^2-1
=(x^3-1)(x+1)(x-1)
=(x-1)(x^2+x+1)(x+1)(x-1)
=(x-1)^2(x+1)(x^2+x+1)
5.10a^2x+21xy^2-14ax^2-15ay^2
=2ax(5a-7x)+3y^2(5a-7x)
=(5a-7x)(2ax-3y^2)

收起

(x2-4y2)-(x+2y)因式分解 x2+y2+x+y=18 x2+y2-2x-4x=24 解方程组计算(x+y/x-y + 4xy/y2-x2)(x2-9y2)/（x2+2xy-3y2） 1.x2+(1+x)2+(x+x2)22.(x+y)4+(x2-y2)2+(x-y)4 因式分解；x2[x-y]+y2[x-y]2是平方 x2-2x+2y-y2因式分解因式分解(x2-y2)-(x-y)2快 x/x-y*y^2/x+y-x^3y2/x^4-y^4/x^2/x^2+y^2分式, 已知x.y满足X2-y2=2xy.则x-y/x+y=?x. 已知[(x2+y2)-(x-y)2+2y(x-y)]÷4y=1,求4x/4x2-y2-1/2x+y的值如图【-（-2x^2y)^3】^2*(-3x^3y2) 因式分解x^3y-2x^2y2+xy^3 2x-y=2,求[（x2+y2)-(x-y)2-2y(x-y)]/4y的值 x+2y+4y2/x-2y+4x2y/4y2-x2,4y2 4x2 4y2-x2的2是平方 x2-2xy+y2=4 x2+y2-x-y=6 解不等式x2-2xy+y2=4 x2+y2-x-y=6 解不等式化简：1/2x-1/(x+y).[x2-y2+(x+y)/2x 1/2x-1/(x+y)[x2-y2+(x+y)/2x] X2+Y2+8X+6Y+25=0 求代数式(x2-4y2/x2+4xy+4y2)-x/x+2y