因式分解:(1)2m³-32m(2)a²(x-y)+b²(y-x)

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/09 19:04:00
因式分解:(1)2m³-32m(2)a²(x-y)+b²(y-x)

因式分解:(1)2m³-32m(2)a²(x-y)+b²(y-x)
因式分解:(1)2m³-32m(2)a²(x-y)+b²(y-x)

因式分解:(1)2m³-32m(2)a²(x-y)+b²(y-x)
1、
2m^3-32m
=2m(m^2-16)
=2m(m+4)(m-4)
2、
a^2(x-y)+b^2(y-x)
=a^2(x-y)-b^2(x-y)
=(x-y)(a^2-b^2)
=(x-y)(a+b)(a-b)

(1)2m³-32m
=2m(m^2-16)
=2m(m+4)(m-4)
(2)a²(x-y)+b²(y-x)
=a²(x-y)- b²(x-y)
=(x-y)(a+b)(a-b)

(1)2m³-32m
=2m(m²-16)
=2m(m+4)(m-4)
(2)a²(x-y)+b²(y-x)
=(a²-b²)(x-y)
=(a+b)(a-b)(x-y)