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题目:先化简,再求值:x²y-[2xy²-3(x²y-2xy²)],其中 x=1,y=-2。
答案:原式 = x²y-[2xy²-3x²y+6xy²] = x²y-2xy²+3x²y-6xy² = (x²y+3x²y)+(-2xy²-6xy²) = 4x²y-8xy²。 当 x=1,y=-2 时: 4×1×(-2)-8×1×4 = -8-32 = -40。
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