(m^2+n^2)-4m^2n^2

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(m^2+n^2)-4m^2n^2(m^2+n^2)-4m^2n^2(m^2+n^2)-4m^2n^2漏了平方了(m^2+n^2)^2-4m^2n^2=(m^2+n^2+2mn)(m^2+n^2-2m

(m^2+n^2)-4m^2n^2
(m^2+n^2)-4m^2n^2

(m^2+n^2)-4m^2n^2
漏了平方了
(m^2+n^2)^2-4m^2n^2
=(m^2+n^2+2mn)(m^2+n^2-2mn)
=(m+n)^2(m-n)^2