[(m+n)^2-4(m-n)^2]除以(3n-m)

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[(m+n)^2-4(m-n)^2]除以(3n-m)[(m+n)^2-4(m-n)^2]除以(3n-m)[(m+n)^2-4(m-n)^2]除以(3n-m)[(m+n)^2-4(m-n)^2]除以(3

[(m+n)^2-4(m-n)^2]除以(3n-m)
[(m+n)^2-4(m-n)^2]除以(3n-m)

[(m+n)^2-4(m-n)^2]除以(3n-m)
[(m+n)^2-4(m-n)^2]除以(3n-m)
={[(m+n)]^2-[2(m-n)]^2}除以(3n-m)
=[m+n+2(m-n)][(m+n)-2(m-n]除以(3n-m)
=(3m-n)(3n-m)除以(3n-m)
=3m-n

原式=[(m+n+2m-2n)(m+n-2m+2n)]/(3n-m)
=(3m-n)(3n-m)/(3n-m)
=3m-n

先把上面用平方差公式,结果等于3m-n