因式分解(y-1)^2+6(1-y^2)+9(y+1)^2

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/15 01:18:21
因式分解(y-1)^2+6(1-y^2)+9(y+1)^2
x 0&e q+R_DBjׁb=HA=Dq ͳe(}98sŏU<aیr hf0T'jchZq5pxdOsD !Y ôcSiWbm:OP ^ 2s[;!x!#WL:T¹uAG*Rt8^C:1Po݇yޓCԪ_yɮ

因式分解(y-1)^2+6(1-y^2)+9(y+1)^2
因式分解(y-1)^2+6(1-y^2)+9(y+1)^2

因式分解(y-1)^2+6(1-y^2)+9(y+1)^2
原式=(y-1)²-6(y+1)(y-1)+9(y+1)²
==[(y-1)-3(y+1)]²
=(-2y-4)²
=4(y+2)²

原式=(y-1)&#178;-6(y+1)(y-1)+9(y+1)&#178;==[(y-1)-3(y+1)]&#178;=(-2y-4)&#178;=4(y+2)&#178;

(y-1)^2+6(1-y^2)+9(y+1)^2
=(1-y)^2+6(1+y)(1-y)+9(y+1)^2
=[(1-y)+3(y+1)]^2
=(1-y+3y+3)^2
=(2y+4)^2
=4(y+2)^2