m^2n^2-1/4(m^2+n^2)^2因式分解

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m^2n^2-1/4(m^2+n^2)^2因式分解
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m^2n^2-1/4(m^2+n^2)^2因式分解
m^2n^2-1/4(m^2+n^2)^2因式分解

m^2n^2-1/4(m^2+n^2)^2因式分解
m^2n^2-1/4(m^2+n^2)^2
=(mn)^2-[1/2(m^2+n^2)]^2
=[mn-1/2(m^2+n^2)][mn+1/2(m^2+n^2)]
=-1/2(m-n)^2*1/2(m+n)^2
=-1/4(m-n)^2(m+n)^2

(1),(-m-n)(-m+n) (2),(-m+n)(m-n) [(m+n)(m-n)-(m-n)²+2n(m-n)]÷4n (m-2n)(-m-n) (n/m+n/2m^2)*4m/n^2 [(m-n)^2*(m-n)^3]^2/(m-n)^4 [(m-n)^2*(m-n)^3]^2/(m-n)^4 4m^2(m+n)-9n^2(m+n) 因式分解4m^2(m-n)+4n(n-m) 4m(m-n)^2+4n(n-m)^3 （m-n)2(n-m)3(n-m)4化简 化简,1.[(m+n-p)(m+p+n)-(m+n)²]/(-p),2.[(m+n)(m-n)-(m-n)²+2n(m-n)]/4n (m-n)^2*(m-n)^4=? 因式分解m^2-(n+1)m+n m-n+2n^2/(m+n) 4m(m-m)-2n(n-m) (m-2n/n-m)-(n/m-n)= 2(m-n)²-m(m-n) （m-n)(m+n)+(m+n)²-2m²