化简(X+2)\(X^2+X)+(2X+1)\(X^2+3X+2)-(X-3)\(X^2+2X)
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化简(X+2)\(X^2+X)+(2X+1)\(X^2+3X+2)-(X-3)\(X^2+2X)化简(X+2)\(X^2+X)+(2X+1)\(X^2+3X+2)-(X-3)\(X^2+2X)化简(X
化简(X+2)\(X^2+X)+(2X+1)\(X^2+3X+2)-(X-3)\(X^2+2X)
化简(X+2)\(X^2+X)+(2X+1)\(X^2+3X+2)-(X-3)\(X^2+2X)
化简(X+2)\(X^2+X)+(2X+1)\(X^2+3X+2)-(X-3)\(X^2+2X)
原式=(x+2)/x(x+1)+(2x+1)/(x+1)(x+2)-(x-3)/x(x+2)
=[(x+2)^2+x(2x+1)-(x+1)(x-3)]/x(x+1)(x+2)
=(x^2+4x+4+2x^2+x-x^2+2x+3)/x(x+1)(x+2)
=(2x^2+7x+7)/(x^3+3x^2+2x)
(X+2)/(X^2+X)+(2X+1)/(X^2+3X+2)-(X-3)/(X^2+2X)
=(X+2)/X(X+1)+(2X+1)/(X+1)(X+2)-(X-3)/X(X+2)
=[(X+2)^2+X(2X+1)-(X+1)(X-3)]/X(X+1)(X+2)
=(X^2+4X+4+2X^2+X-X^2+2X-3)/X(X+1)(X+2)
=(2X^2+7X+1)/X(X+1)(X+2)
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化简:x(x^2+x)/x^2(x^2-1)
*-----------------------------------------------*| 6 4 X | 8 X X | X X 5 || X X X | X X X | X 7 8 || X X X | X X X | X X X ||---------------+---------------+--------------- || X X X | X X X | 5 1 X || X X X | X 6 X | X X X || 8 X X | 3 5 X | 2 X X ||
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化简1+x+x(1+x)+x(1+x)^2+.+x(1+x)^2003,得到