已知(a+2)²+丨3b-1丨=0,求3a²b-[3ab²-6(ab-½a²b)+4ab]-2ab的值

问题描述:

已知(a+2)²+丨3b-1丨=0,求3a²b-[3ab²-6(ab-½a²b)+4ab]-2ab的值

∵(a+2)²+丨3b-1丨=0
∴(a+2)²≥0,丨3b-1丨≥0
∴a=-2,b=1/3
∵3a²b-[3ab²-6(ab-½a²b)+4ab]-2ab
=3a²b-[3ab²-6ab+3a²b+4ab]-2ab
=3a²b-3ab²+6ab-3a²b-4ab-2ab
=-3ab²
把a=-2,b=1/3代入得
=-3·(-2)·(1/3)²
=2/3