因式分解:2a(x-y)-3b(y-x)a²-2ab+b²-12x²y-8xy+8ya²(x-y)-4b²(x-y)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/24 12:50:24
因式分解:2a(x-y)-3b(y-x)a²-2ab+b²-12x²y-8xy+8ya²(x-y)-4b²(x-y)因式分解:2a(x-y)-3b(y

因式分解:2a(x-y)-3b(y-x)a²-2ab+b²-12x²y-8xy+8ya²(x-y)-4b²(x-y)
因式分解:2a(x-y)-3b(y-x)
a²-2ab+b²-1
2x²y-8xy+8y
a²(x-y)-4b²(x-y)

因式分解:2a(x-y)-3b(y-x)a²-2ab+b²-12x²y-8xy+8ya²(x-y)-4b²(x-y)
2a(x-y)-3b(y-x)=(x-y)(2a+3b)
a²-2ab+b²-1=(a-b)²-1²=(a-b+1)(a-b-1)
2x²y-8xy+8y=2y(x²-4x+4)=2y(x-2)²
a²(x-y)-4b²(x-y)=(x-y)(a+2b)(a-2b)