[2/(m+n)^3*(1/m+1/n)+1/(m^2+2mn+n^2)*(1/m^2+1/n^2)]/(m-n)/m^3n^3 10
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[2/(m+n)^3*(1/m+1/n)+1/(m^2+2mn+n^2)*(1/m^2+1/n^2)]/(m-n)/m^3n^3
=[ 2/(m+n)^3*(m+n)/mn + 1/(m+n)^2*(m^2+n^2)/m^2n^2 ] / (m-n) / m^3n^3
=[ 2/(m+n)^2*mn/m^2n^2 + 1/(m+n)^2*(m^2+n^2)/m^2n^2 ] / (m-n) / m^3n^3
={ (2mn+m^2+n^2)/[(m+n)^2*m^2n^2] }/ (m-n) /m^3n^3
={ (m+n)^2/[(m+n)^2*m^2n^2] }/ (m-n) /m^3n^3
=1/m^2n^2 / (m-n) /m^3n^3
=1/[(m-n)m^5n^5]
=[ 2/(m+n)^3*(m+n)/mn + 1/(m+n)^2*(m^2+n^2)/m^2n^2 ] / (m-n) / m^3n^3
=[ 2/(m+n)^2*mn/m^2n^2 + 1/(m+n)^2*(m^2+n^2)/m^2n^2 ] / (m-n) / m^3n^3
={ (2mn+m^2+n^2)/[(m+n)^2*m^2n^2] }/ (m-n) /m^3n^3
={ (m+n)^2/[(m+n)^2*m^2n^2] }/ (m-n) /m^3n^3
=1/m^2n^2 / (m-n) /m^3n^3
=1/[(m-n)m^5n^5]
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