(x+3x+5x...+2009x)-(2x+4x+6x+...+2010x)

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(x+3x+5x...+2009x)-(2x+4x+6x+...+2010x)

(x+3x+5x...+2009x)-(2x+4x+6x+...+2010x)
(x+3x+5x...+2009x)-(2x+4x+6x+...+2010x)

(x+3x+5x...+2009x)-(2x+4x+6x+...+2010x)
(x+3x+5x...+2009x)-(2x+4x+6x+...+2010x)
=(1+3+5+7……+2009)x-(2+4+6……+2010)x
=(1+2009)×1005x÷2-x(2+2010)×1005x÷2
=1005x÷2×(2010-2012)
=-1005x÷2×2
=-1005x

-1005x,原式=(x-2x)+(3x-4x)+(5x-6x)+(7x-8x)+……+(2007x-2008x)+(2009x-2010x)=-1005x,共 1005项,

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