因式分解 数学题题目见下图~求解~thx=]

来源:学生作业帮助网 编辑:六六作业网 时间:2025/01/02 16:55:39
因式分解数学题题目见下图~求解~thx=]因式分解数学题题目见下图~求解~thx=]因式分解数学题题目见下图~求解~thx=]=(X-Y)(X+Y)(X²+Y²)-(X-Y)(X+

因式分解 数学题题目见下图~求解~thx=]
因式分解 数学题
题目见下图~
求解~
thx=]

因式分解 数学题题目见下图~求解~thx=]
= (X -Y)(X+Y)(X²+Y²) - (X-Y)(X+Y)³
= (X - Y) [X³ + XY² + X²Y + Y³ - (X³+Y³+3X²Y+3XY²) ]
= (X - Y) [- (2X²Y+2XY²)]
= -2 XY(X - Y)(X + Y)

x4-y4-(x-y)(x+y)3
=(x2+y2)(x-y)(x+y)-(x-y)(x+y)3
=(x-y)(x+y)(x2+y2-x2-2xy-y2)
=-2xy(x-y)(x+y)

-2xy(x-y)(x+y)