(lg2)³+(lg5)³+3lg2×lg5=?请问这道数学题怎么做?
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/04 07:40:57
![(lg2)³+(lg5)³+3lg2×lg5=?请问这道数学题怎么做?](/uploads/image/z/3782473-25-3.jpg?t=%28lg2%29%26%23179%3B%2B%28lg5%29%26%23179%3B%2B3lg2%C3%97lg5%3D%3F%E8%AF%B7%E9%97%AE%E8%BF%99%E9%81%93%E6%95%B0%E5%AD%A6%E9%A2%98%E6%80%8E%E4%B9%88%E5%81%9A%3F)
(lg2)³+(lg5)³+3lg2×lg5=?请问这道数学题怎么做?
(lg2)³+(lg5)³+3lg2×lg5=?请问这道数学题怎么做?
(lg2)³+(lg5)³+3lg2×lg5=?请问这道数学题怎么做?
(lg2)³+(lg5)³+3lg2×lg5
=(lg2+lg5)(lg²2+lg²5-lg2lg5)+3lg2×lg5
=lg²2+lg²5-lg2lg5+3lg2lg5
=(lg2+lg5)²
=1