计算:（531/135+579/357+753/975）x(579/357+753/975+135/531)-(531/135+579/357+753/975+135/531)x(579/357+753/975)
来源：学生作业帮助网 编辑：六六作业网 时间：2025/01/24 14:30:11
计算:（531/135+579/357+753/975）x(579/357+753/975+135/531)-(531/135+579/357+753/975+135/531)x(579/357+753/975)
计算:（531/135+579/357+753/975）x(579/357+753/975+135/531)-(531/135+579/357+753/975+135/531)x(579/357+753/975)
计算:（531/135+579/357+753/975）x(579/357+753/975+135/531)-(531/135+579/357+753/975+135/531)x(579/357+753/975)
(531/135+579/357+753/975)*(579/357+753/975+135/531)-(531/135
+579/357+753/975+135/531)*(579/357+753/975)=(531/135+579/357+753/975)*(579/357+753/975+135/531)-(531/135
+579/357+753/975)*(579/357+753/975)-135/531*(579/357+753/975)=(531/135+579/357+753/975)*(579/357+753/975+135/531-579/357-753/975)-135/531*(579/357+753/975)=(531/135+579/357+753/975)*135/531-135/531*(579/357+753/975)=135/531*(531/135+579/357+753/975-579/357-753/975)=135/531*531/135=1
令a=579/357+753/975，原式=（a+531/135）*（135/531+a）-a*（a+531/135+135/531）=a2+a*（531/135+135/531）+1-a2-a*（531/135+135/531）=1
(531/135+579/357+753/975)*(579/357+753/975+135/531)-(531/135
+579/357+753/975+135/531)*(579/357+753/975)=(531/135+579/357+753/975)*(579/357+753/975+135/531)-(531/135
+579/357+753/975)*(579/3...
全部展开
(531/135+579/357+753/975)*(579/357+753/975+135/531)-(531/135
+579/357+753/975+135/531)*(579/357+753/975)=(531/135+579/357+753/975)*(579/357+753/975+135/531)-(531/135
+579/357+753/975)*(579/357+753/975)-135/531*(579/357+753/975)=(531/135+579/357+753/975)*(579/357+753/975+135/531-579/357-753/975)-135/531*(579/357+753/975)=(531/135+579/357+753/975)*135/531-135/531*(579/357+753/975)=135/531*(531/135+579/357+753/975-579/357-753/975)=135/531*531/135=1
收起