已知:A=2a²+3ab-b²,B=-1/2ab,C=1/8a³b³-1/4a²b^4,求2A*B²-C.
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![已知:A=2a²+3ab-b²,B=-1/2ab,C=1/8a³b³-1/4a²b^4,求2A*B²-C.](/uploads/image/z/1710293-5-3.jpg?t=%E5%B7%B2%E7%9F%A5%3AA%3D2a%26%23178%3B%2B3ab-b%26%23178%3B%2CB%3D-1%2F2ab%2CC%3D1%2F8a%26%23179%3Bb%26%23179%3B-1%2F4a%26%23178%3Bb%5E4%2C%E6%B1%822A%2AB%26%23178%3B-C.)
已知:A=2a²+3ab-b²,B=-1/2ab,C=1/8a³b³-1/4a²b^4,求2A*B²-C.
已知:A=2a²+3ab-b²,B=-1/2ab,C=1/8a³b³-1/4a²b^4,求2A*B²-C.
已知:A=2a²+3ab-b²,B=-1/2ab,C=1/8a³b³-1/4a²b^4,求2A*B²-C.
2A*B²-C
=2(2a²+3ab-b²)×(-1/2ab)²-(1/8a³b³-1/4a²b^4)
=2(2a²+3ab-b²)×1/4a²b²-(1/8a³b³-1/4a²b^4)
=a^4b²+3a³b³/2-a²b^4/2-1/8a³b³+1/4a²b^4
=a^4b²+11a³b³/8-a²b^4/4