已知m>4,化简:|m-4|+|7-2m|+|m^2-2m+1|-|m^2-2m-3|


- #数学
  • .1.参考答案-1
    ∵m>4
    ∴m-4>0,7-2m0,m+1>0,m-3>0
    ∴(m+1)(m-3)>0
    ∴原式=|m-4|+|7-2m|+|(m-1)²|-|(m+1)(m-3)|
    =m-4+2m-7+(m-1)²-(m+1)(m-3)
    =3m-11+m²-2m+1-m²+2m+3
    =3m-7
  • .2.参考答案-2
    原式=3M-7
  • .3.参考答案-3
    |m-4|+|7-2m|+|m^2-2m+1|-|m^2-2m-3|
    = m-4+2m-7+m^2-2m+1-m^2+2m+3
    =3m-7
  • .4.参考答案-4
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