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郭敦顒回答:
上题,不清晰,题可能是——
3x²+[(-3/2)x+(1/3)y][2x-(2/3)y],其中x=1/3,y=2/3
3x²+[(-3/2)x+(1/3)y][2x-(2/3)y]
=3x²-3x²+(5/3)xy-(2/9)y²
=(5/3)xy-(2/9)y²
=10/9-8/81=82/81。
中题,[(xy+2)(xy-2)-2x²y²+4]/ xy,其中x=10,y=-1/25,
[(xy+2)(xy-2)-2x²y²+4]/ xy
=[x²y²-4-2x²y²+4]/ xy
=-xy
=10/25=2/5。
下题,x(x+2y)-(x+1)²+2x,其中x=1/25,y=-25,
x(x+2y)-(x+1)²+2x
= x²+2xy-x ²-1
=2xy-1
=-2-1
=-3。
上题,不清晰,题可能是——
3x²+[(-3/2)x+(1/3)y][2x-(2/3)y],其中x=1/3,y=2/3
3x²+[(-3/2)x+(1/3)y][2x-(2/3)y]
=3x²-3x²+(5/3)xy-(2/9)y²
=(5/3)xy-(2/9)y²
=10/9-8/81=82/81。
中题,[(xy+2)(xy-2)-2x²y²+4]/ xy,其中x=10,y=-1/25,
[(xy+2)(xy-2)-2x²y²+4]/ xy
=[x²y²-4-2x²y²+4]/ xy
=-xy
=10/25=2/5。
下题,x(x+2y)-(x+1)²+2x,其中x=1/25,y=-25,
x(x+2y)-(x+1)²+2x
= x²+2xy-x ²-1
=2xy-1
=-2-1
=-3。
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