(loga(ab))^2+(logab)^2-2loga(ab)logab

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(loga(ab))^2+(logab)^2-2loga(ab)logab(loga(ab))^2+(logab)^2-2loga(ab)logab(loga(ab))^2+(logab)^2-2lo

(loga(ab))^2+(logab)^2-2loga(ab)logab
(loga(ab))^2+(logab)^2-2loga(ab)logab

(loga(ab))^2+(logab)^2-2loga(ab)logab
(loga(ab))^2+(logab)^2-2loga(ab)logab
=(loga(ab)-logab)^2
=(loga(ab/b))^2
=(logaa)^2
=1^2
=1

原式=2+2loga(b)+(logab)^2-2(1+logab)logab
=2-2=0