{ab-[3a^2b-(4a^2b+1/2ab)]-4a^2b}+3a^2b}=

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{ab-[3a^2b-(4a^2b+1/2ab)]-4a^2b}+3a^2b}=
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{ab-[3a^2b-(4a^2b+1/2ab)]-4a^2b}+3a^2b}=
{ab-[3a^2b-(4a^2b+1/2ab)]-4a^2b}+3a^2b}=

{ab-[3a^2b-(4a^2b+1/2ab)]-4a^2b}+3a^2b}=
{ab-[3a^2b-(4a^2b+1/2ab)]-4a^2b}+3a^2b
=ab-3a²b+4a²b+ab/2+4a²b+3a²b
=3ab/2+8a²b

{ab-[3a^2b-(4a^2b+1/2ab)]-4a^2b}+3a^2b
=ab-3a²b+4a²b+ab/2-4a²b+3a²b
=ab+ab/2-3a²b+4a²b-4a²b+3a²b
=3ab/2