
已知:x+y=3,xy=-2,求:1. (3x-4y+2xy)-(2x-5y+5xy)的值;2. (3x-5y+4xy)-(6x-2y+6xy)的值
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解:1. (3x-4y+2xy)-(2x-5y+5xy)
=3X-4Y+2XY-2X+5Y-5XY
=X+Y-3XY
∵x+y=3,xy=-2
∴X+Y-3XY=3-3×﹙-2﹚=9
2.(3x-5y+4xy)-(6x-2y+6xy)
=3x-5y+4xy-6x+2y-6xy
=-3X-3Y-2XY
=-3(X+Y)-2XY
∵x+y=3,xy=-2
∴-3(X+Y)-2XY=-3×3-2×﹙-2﹚=-5
=3X-4Y+2XY-2X+5Y-5XY
=X+Y-3XY
∵x+y=3,xy=-2
∴X+Y-3XY=3-3×﹙-2﹚=9
2.(3x-5y+4xy)-(6x-2y+6xy)
=3x-5y+4xy-6x+2y-6xy
=-3X-3Y-2XY
=-3(X+Y)-2XY
∵x+y=3,xy=-2
∴-3(X+Y)-2XY=-3×3-2×﹙-2﹚=-5
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