问题 解答题

已知|a+b+5|+(a+2)2=0,求3a2b-[2a2b-(3ab-a2b)-4a2]-2ab的值.

答案

∵|a+b+5|+(a+2)2=0,

∴a+b+5=0,a+2=0,

解得:a=-2,b=-3,

∴3a2b-[2a2b-(3ab-a2b)-4a2]-2ab

=3a2b-[2a2b-3ab+a2b-4a2]-2ab

=3a2b-2a2b+3ab-a2b+4a2-2ab

=ab+4a2

=(-2)×(-3)+4×(-2)2

=6+16

=22.

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