16(a-b)^2-9(a+b)^2和3(x-y)^3+12(y-x)这两道题怎样因式分解

来源:学生作业帮助网 编辑:作业帮 时间:2024/08/01 08:37:11
16(a-b)^2-9(a+b)^2和3(x-y)^3+12(y-x)这两道题怎样因式分解
x)34{#Q7I3HR#Qx:XBR3XHRBOv,y8-t{vX&HJ&U` h 1X4V ׅ!4Ab@ $M `@Q Y4"gk3F`JHF 1{t

16(a-b)^2-9(a+b)^2和3(x-y)^3+12(y-x)这两道题怎样因式分解
16(a-b)^2-9(a+b)^2和3(x-y)^3+12(y-x)这两道题怎样因式分解

16(a-b)^2-9(a+b)^2和3(x-y)^3+12(y-x)这两道题怎样因式分解
16(a-b)^2-9(a+b)^2
=[4(a-b)+3(a+b)]*[4(a-b)-3(a+b)]
=(7a-b)(a-7b)
3(x-y)^3+12(y-x)
=3(x-y)^3-12(x-y)
=3(x-y)[(x-y)^2-4]
=(x-y)(x-y+2)(x-y-2)