( )(3x-6y^3)=3(x^2-4y^6)

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/11/08 15:31:02

( )(3x-6y^3)=3(x^2-4y^6)
()(3x-6y^3)=3(x^2-4y^6)
用文字翻译即为：谁乘上3x减六倍的（y的三次方）等于三倍的[x的二次方减四倍的（y的六次方）]
此为填空题.请高人快进来.（书后的答案是x+2y^3）我至今不明白.

这道题目要用点技巧,不能直接用多项式相除的方法求解,其实考点是因式分
( )(3x-6y^3)=3(x^2-4y^6)
( )3(x-2y^3)=3(x+2y^3)（x-2y^3)
( )3(x-2y^3)=3（x-2y^3)(x+2y^3)
看出来了没有,要因式分解之后比较.

x+y/2+x-y/3=6,4(x+y)-3(x-y)=-20 {(x+y)/2+(x-y)/3=6 4(x+y)-3(x-y)=-20 4(x+y)-3(x-y)=-20,2/x+y+3/x-y=6 {3(x+y)-4(x-y)=4 {x+y/2 + x-y/6=1 【2(x-y)^3-8(x-y)^2(x+y)+6y(x-y)^2】/2(x-y)^2= ｛4/(x+y)+6/(x-y)=3 ｛9/(x-y)-1/(x+y)=1 1.（（y+2x)(-2x+y)+4(x+2y)^2)/3y 2.（2(x-y)^3-8(x-y）^2(x+y)+6y( 6(x-y)-2(x+y)=14 3(x-y)+(x+y)=5 若(x-y)/(x+y)=3 则(x+2y)/(6x-7y)等于 x^8-x^7y+x^6y^2-x^5y^3+x^4y^4-x^3y^5+x^2y^-xy^7+y^8 [(x+y)^3]^6-3[(x+y)^3]^6X(x+y)^4X(-x-y)^2 4x-2y-6y*-y-3x+5y* *=2 就是平方