作业帮大家来看看我几道数学作业.计算(X-2Y+Z)(X+2Y-Z)[(1/4)X-(2/5)Y]^2*[(1/4)X+(2/5)Y]^2[(2T+1)^2-(1-2T)^2](T^2-2)
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/06 03:09:52
![大家来看看我几道数学作业.计算(X-2Y+Z)(X+2Y-Z)[(1/4)X-(2/5)Y]^2*[(1/4)X+(2/5)Y]^2[(2T+1)^2-(1-2T)^2](T^2-2)](/uploads/image/z/4493717-53-7.jpg?t=%E5%A4%A7%E5%AE%B6%E6%9D%A5%E7%9C%8B%E7%9C%8B%E6%88%91%E5%87%A0%E9%81%93%E6%95%B0%E5%AD%A6%E4%BD%9C%E4%B8%9A.%E8%AE%A1%E7%AE%97%28X-2Y%2BZ%29%28X%2B2Y-Z%29%5B%281%2F4%29X-%282%2F5%29Y%5D%5E2%2A%5B%281%2F4%29X%2B%282%2F5%29Y%5D%5E2%5B%282T%2B1%29%5E2-%281-2T%29%5E2%5D%28T%5E2-2%29)
大家来看看我几道数学作业.计算(X-2Y+Z)(X+2Y-Z)[(1/4)X-(2/5)Y]^2*[(1/4)X+(2/5)Y]^2[(2T+1)^2-(1-2T)^2](T^2-2)
大家来看看我几道数学作业.
计算
(X-2Y+Z)(X+2Y-Z)
[(1/4)X-(2/5)Y]^2*[(1/4)X+(2/5)Y]^2
[(2T+1)^2-(1-2T)^2](T^2-2)
大家来看看我几道数学作业.计算(X-2Y+Z)(X+2Y-Z)[(1/4)X-(2/5)Y]^2*[(1/4)X+(2/5)Y]^2[(2T+1)^2-(1-2T)^2](T^2-2)
(X-2Y+Z)(X+2Y-Z)
=[X-(2Y-Z)][X+(2Y-Z)]
=X^2-(2Y-Z)^2
=X^2-4Y^2+4YZ-Z^2
[(1/4)X-(2/5)Y]^2*[(1/4)X+(2/5)Y]^2
=[(1/4)X]^2-[(2/5)Y]^2
=1/16X^2-4/25Y^2
[(2T+1)^2-(1-2T)^2](T^2-2)
=(2T+1+1-2T)(2T+1-1+2T)(T^2-2)
=2*4T*(T^2-2)
=8T^3-16T