1.计算:x-y分之x+y + y-3分之2x 2.计算:x+3分之x²-x-2 除以 (2-x) + x+3
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1.计算:x-y分之x+y + y-3分之2x 2.计算:x+3分之x²-x-2 除以 (2-x) + x+3分之x+1
1.计算:x-y分之x+y + y-3分之2x
=(x+y)/(x-y)+2x/(y-3)
=((x+y)(y-3)+2x(x-y))/(x-y)(y-3)
=(xy-3x+y^2-3y+2x^2-2xy)/(x-y)(y-3)
=(-3x+y^2-3y+2x^2-xy)/(x-y)(y-3)
=(-3x-3y+y^2-xy+2x^2)/(x-y)(y-3)
2.计算:x+3分之x²-x-2 除以 (2-x) + x+3分之x+1
=(x^2-x-2)/(x+3)(2-x)+(x+1)/(x+3)
=(x-2)(x+1)/-(x+3)(x-2)+(x+1)/(x+3)
=-(x+1)/(x+3)+(x+1)/(x+3)
=0
=(x+y)/(x-y)+2x/(y-3)
=((x+y)(y-3)+2x(x-y))/(x-y)(y-3)
=(xy-3x+y^2-3y+2x^2-2xy)/(x-y)(y-3)
=(-3x+y^2-3y+2x^2-xy)/(x-y)(y-3)
=(-3x-3y+y^2-xy+2x^2)/(x-y)(y-3)
2.计算:x+3分之x²-x-2 除以 (2-x) + x+3分之x+1
=(x^2-x-2)/(x+3)(2-x)+(x+1)/(x+3)
=(x-2)(x+1)/-(x+3)(x-2)+(x+1)/(x+3)
=-(x+1)/(x+3)+(x+1)/(x+3)
=0
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