-9(x+y)²+(x-y)² 因式分解
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/27 12:13:44
-9(x+y)²+(x-y)² 因式分解
-9(x+y)²+(x-y)² 因式分解
-9(x+y)²+(x-y)² 因式分解
-9(x+y)²+(x-y)²
=(x-y)² -[3(x+y)]²
=[(x-y)-3(x+y)][(x-y)+3(x+y)]
=(x-y-3x-3y)(x-y+3x+3y)
=-(2x+4y)(4x+2y)
=-4(x+2y)(2x+y)
=[(x-y)-3(x+y)]*[(x-y)+3(x+y)]
来
-9(x+y)²+(x-y)²
=(x-y)²-9(x+y)²
=(x-y)²-【3(x+y)】²
=【(x-y)+3(x+y)】*【(x-y)-3(x+y)】
=(x-y+3x+3y)*(x-y-3x-3y)
=(4x+2y)*(-2x-4y)
=-2(2x+y)(x+2y)