帮下忙化简：(x-y)[(x+y)^2-xy](x^3+y^3)-(x+y)^3(x-y)^3=小女子已经晕了 注：^是次方的意思不知谁出的题啊……

来源：学生作业帮助网 编辑：作业帮 时间：2024/05/03 23:44:16
帮下忙化简：(x-y)[(x+y)^2-xy](x^3+y^3)-(x+y)^3(x-y)^3=小女子已经晕了 注：^是次方的意思不知谁出的题啊……

帮下忙化简：(x-y)[(x+y)^2-xy](x^3+y^3)-(x+y)^3(x-y)^3=小女子已经晕了 注：^是次方的意思不知谁出的题啊……
帮下忙
化简：(x-y)[(x+y)^2-xy](x^3+y^3)-(x+y)^3(x-y)^3=
小女子已经晕了 注：^是次方的意思
不知谁出的题啊……

帮下忙化简：(x-y)[(x+y)^2-xy](x^3+y^3)-(x+y)^3(x-y)^3=小女子已经晕了 注：^是次方的意思不知谁出的题啊……
首先您是否知道这一条公式 A^3+B^3=(A+B)*(A^2-AB+B^2)
A^3-B^3=（A-B)*(A^2+AB+B^2)
如果您不知道
您不头晕才怪
这样就简单了
(x-y)(x^2+xy+y^2)*(x^3+y^3)-((x+y)(x-y))^3
(x^3-y^3)*（x^3+y^3)-(x^2-y^2)^3
((x^2)^3-(y^2)^3)-(x^2-y^2)*(x^2-y^2)^2
(x+y)(x-y)*2*(x^2*y^2)

不行啊，大姐我试了试，也晕了，你继续找高高手帮忙吧。
祝你愉快！

^是几次方？

(x-y)[(x+y)ˇ2-xy](xˇ3+yˇ3)-(x+y)ˇ3(x-y)ˇ3
＝[xˇ3＋xˇ2y-xyˇ2-yˇ2-（xˇ2y-xyˇ2）]（xˇ2＋yˇ2）＋[xˇ6-xˇ4yˇ2-（2xˇ4yˇ2-2xˇ2yˇ4）+xˇ2yˇ4-y
ˇ6]
＝[xˇ3-yˇ3（xˇ3+yˇ3）]＋(xˇ6-3xˇ4yˇ2＋3xˇ2yˇ4-y6)
＝（xˇ6-3x...

全部展开

(x-y)[(x+y)ˇ2-xy](xˇ3+yˇ3)-(x+y)ˇ3(x-y)ˇ3
＝[xˇ3＋xˇ2y-xyˇ2-yˇ2-（xˇ2y-xyˇ2）]（xˇ2＋yˇ2）＋[xˇ6-xˇ4yˇ2-（2xˇ4yˇ2-2xˇ2yˇ4）+xˇ2yˇ4-y
ˇ6]
＝[xˇ3-yˇ3（xˇ3+yˇ3）]＋(xˇ6-3xˇ4yˇ2＋3xˇ2yˇ4-y6)
＝（xˇ6-3xˇ4yˇ2+3xˇ2yˇ4-yˇ6）ˇ2
＝xˇ12-6xˇ10yˇ2+15xˇ8yˇ4-11xˇ6yˇ6+6xˇ4yˇ8-6xˇ2yˇ10-yˇ12
请楼主耐心，你一定能行！得数真完美啊

收起

=（x-y）[x^2+xy+y^2]-(x-y)^3
我的精力只允许我做到这里～～～（烦死）

公式:(A+B)(A-B)=A^2-B^2
(A+B)^2=A^2+2AB+B^2
(A-B)^2=A^2-2AB+B^2
A^3+B^3=(A+B)*(A^2-AB+B^2)
A^3-B^3=(A-B)*(A^2+AB+B^2)
原式=(x-y)(x^2+xy+y^2)(x^3+y^3)-[(x+y)(x-y)]^3
=(x^3-y^3)(x^3+y^3)-(x^2-y^2)^3
=x^6-y^6-[x^6-2(xy)^2+y^6]
=2(xy)^2

....死人的....讨厌复杂的题~~~~~浪费时间

公式 (a-b)^3=a^3-3a^2b+3ab^2-b^3
a^3-b^3=(a-b)(a^2+b^2+ab)
(x-y)[(x+y)^2-xy](x^3+y^3)-(x+y)^3(x-y)^3
=(x-y)[(x^2+y^2+xy](x^3+y^3)-(x^2-y^2)^3
=(x^3-y^3)(x^3+y^3)-(x^6-3x^4y^2+3x^2y^4-y^6)
=x^6-y^6-x^6+3x^4y^2-3x^2y^4+y^6
=3x^4y^2-3x^2y^4
=3x^2y^2(x^2-y^2)
=3x^2y^2(x+y)(x-y)

白痴 杀B

x-y/x-x+y/y-(x+y)(x-y)/y² y/x=2 化简y(x+y)+(x+y)(x-y)-x^2 (x+y)(x-y)-(x-y)^2如题 (x+y)(x-y)-(x-y)^2 【2(x-y)(x-y)(x-y)-8(x-y)(x-y)(x+y)+6y(x-y)(x-y)]/2(x-y)(x-y) 因式分解x(x+y)(x-y)-x(x+y)^2 [(x-y)^2-(x+2y)(x-2y)]/y 计算:y-x分之x+y+x-y分之y-y-x分之2x-y x^2(x-y)+(y-x) x(x-y)2-(y-x)3 【(x-y)^2+(x+y)(x-y)】除以 2x [(x-y)²+(x+y)(x-y)]除以2x [2/3x-2/x+y(x+y/3x-x-y)]/x-y/x 化简：{2/3x-2/(x+y)[(x+y)/3x-x-y]}/(x+y)/x 计算2/3x-2/x+y(x+y/3x-x-y)/x-y/x 化简3x-2/(x+y)[(x+y)/3x-x-y]÷(x-y)/x 化简：[(x+y)(x-y)(x+y)^2-2y(x-2y)](-2y) 谢谢! 计算：[(x+y)(x-y)-(x-y)^2+2y(x-y)]/(-2y) [(-x-y)(-x+y)-(x+y)^2-x(y-y^2)}÷1/2y