(2m+n-p)(2m-n+p)用平方差公式计算
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(2m+n-p)(2m-n+p)=(2m+n-p)·[-(n-p-2m)]
= -(n-p+2m)(n-p-2m)
= -[(n-p)+2m]·[(n-p)-2m]
= -[(n-p)^2 -(2m)^2]
= 4m^2 -(n-p)^2
=4m^2 -n^2 - p^2 +2np
= -(n-p+2m)(n-p-2m)
= -[(n-p)+2m]·[(n-p)-2m]
= -[(n-p)^2 -(2m)^2]
= 4m^2 -(n-p)^2
=4m^2 -n^2 - p^2 +2np
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