计算:(a-2b+3)^2+(3a-2b+c)(3a+2b-c)应该是:(a-2b+c)^2+(3a-2b+c)(3a+2b-c)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/15 01:44:08
计算:(a-2b+3)^2+(3a-2b+c)(3a+2b-c)应该是:(a-2b+c)^2+(3a-2b+c)(3a+2b-c)计算:(a-2b+3)^2+(3a-2b+c)(3a+2b-c)应该是

计算:(a-2b+3)^2+(3a-2b+c)(3a+2b-c)应该是:(a-2b+c)^2+(3a-2b+c)(3a+2b-c)
计算:(a-2b+3)^2+(3a-2b+c)(3a+2b-c)
应该是:(a-2b+c)^2+(3a-2b+c)(3a+2b-c)

计算:(a-2b+3)^2+(3a-2b+c)(3a+2b-c)应该是:(a-2b+c)^2+(3a-2b+c)(3a+2b-c)
(a-2b+c)²+(3a-2b+c)(3a+2b-c)
=[(a-2b)+c]²+[3a-(2b-c)][3a+(2b-c)]
=(a-2b)²+2c(a-2b)+c²+9a²-(2b-c)²
=a²-4ab+4b²+2ac-4bc+c²+9a²-4b²+4bc-c²
=10a²-4ab+2ac