(x+y)^3与(x-y)^3的因式分解公式

如题所述

第1个回答  2010-12-19
(x+y)^3=x^3+y^3+3yx^2+3xy^2
(x-y)^3=x^3-y^3-3yx^2+3xy^2
第二个就是y的奇次方项为负本回答被提问者采纳
第2个回答  2010-12-19
(a+b)xc=ac+bc
(a-b)xc=ac-bc
第3个回答  2010-12-19
没分呀 不回答

(x+y)^3与(x-y)^3的因式分解公式
(x+y)^3=x^3+y^3+3yx^2+3xy^2 (x-y)^3=x^3-y^3-3yx^2+3xy^2 第二个就是y的奇次方项为负

因式分解:(x+y)^3-(x-y)^3
因式分解:(x+y)^3-(x-y)^3解a³-b³=(a-b)(a²+ab+b²) (x+y)³-(x-y)³=[(x+y)-(x-y)][(x+y)²+(x+y)(x-y)+(x-y)²]=2y[x²+2xy+y²+x²-y²+x²+y²-2

因式分解:(x+y)^3(x-y)-(x+y)(x-y)^3,9x^2-16(a+b)^2
(x+y)^3(x-y)-(x+y)(x-y)^3 =(x+y)(x-y)[(x+y)²-(x-y)²]=(x+y)(x-y)(x+y+x-y)(x+y-x+y)=4xy(x+y)(x-y)9x^2-16(a+b)^2 =(3x)²-[4(a+b)]²=(3x+4a+4b)(3x-4a-4b)希望能帮到你O(∩_∩)O ...

因式分解(x+y)^3 + (x-y)^3
a^3+b^3=(a+b)*(a^2-ab+b^2)代入即可 为2x*(x^2+3y^2)

因式分解公式 (x+y)3= (x-y)3= x3+y3= x3-y3=
=x³-y³-3x²y+3xy².上面的y的次数为奇数的前面有负号 x³+y³=(x+y)(x²-xy+y²),第一个括号和立方的符号一样,括号里面的相反 x³-y³=(x-y)(x²+xy+y²),第一个括号和立方的符号一样,括号里面的相反 ...

(x+y)^3 怎么分解?
(x+y)^3 =(x+y)*(x+y)*(x+y)=(x^2 + 2xy + y^2) (x+y)=x^3 + 2yx^2+ xy^2 + yx^2 + 2xy^2 + y^3 = x^3 + 3yx^2 + 3xy^2 + y^3 这个也可以当做公式来使用,解决(a+b)^3就直接套用上述公式。有利于快速计算。

(x+y)的三次乘xy(x+y)=(x+y)乘m
原式=(x+y)^3(x-y)-(x+y)(x-y)^3 =(x+y)(x-y)[(x+y)^2-(x-y)^2]=(x+y)(x-y)[x^2+2xy+y^2-x^2+2xy-y^2]=4xy(x+y)(x-y)

( (X+Y)^3-(X-Y)^3-(X+Y) )\\(X+Y) 因式分解
( (X+Y)^3-(X-Y)^3-(X+Y) )\\(X+Y)=(X+Y)²-(X-Y)³/(X+Y) -1 =X²+2XY+Y²-1-(X-Y)³/(X+Y)怎么会有这样的题呢?是原题吗?

(x-y)^3展开后的公式是什么?(x+y)^3呢?
(x-y)³=x³-3x²y+3xy²-y³(x+y)³=x³+3x²y+3xy²+y³1、可以先展开来算 (x-y)³=(x-y)(x-y)²=(x-y)(x²-2xy+y²)=x(x²-2xy+y²)-y(x²-2xy+y²)=x&#...

三道因式分解:(x+y)^2-(x+y)^3,(x-y)^2-(x-y)^3,(x-y)^...
(x+y)^2-(x+y)^3 =(x+y)^2[1-(x+y)]=(x+y)^2(1-x-y)(x-y)^2-(x-y)^3 =(x-y)^2[1-(x-y)]=(x-y)^2(1-x+y)(x-y)^2-(y-x)^3 =(x-y)^2+(x-y)^3 =(x-y)^2[1+(x-y)]=(x-y)^2(1+x-y)

相似回答