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[" The coefficient of "x^(1007)" in the expansion of "],[(1+x)^(2006)+x(1+x)^(2005)+x^(2)(1+x)^(2004)+x^(3)(1+],[x)^(2003)+...+x^(2006)" is "],[2006C_(1007)],[^(2006)C_(1006)],[2007C_(1006)],[2007C_(1007)]

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The coefficient of x^(1007) in the expansion (1+x)^(2006)+x(1+x)^(2005)+x^(2)(1+x)^(2004)x^(3)(1+x)^(2003)+....+x^(2000)

The coefficient of x^(2012) in the expansion of (1-x)^(2008)(1+x+x^(2))^(2007), is

The coefficient of x^1007 in the expansion (1+x)^(2006)+x(1+x)^(2005)+x^2(1+x)^(2004)x^3(1+x)^(2003)+..... +x^(2006) is

The coefficient of x^2012 in the expansion of (1 - x)^2008 (1+x+x^2)^2007 , is

The coefficient of x^(4) in the expansion of (1+x+x^(2)+x^(3))^(n) is *^(n)C_(4)+^(n)C_(2)+^(n)C_(1)xx^(n)C_(2)

If C_(n) is the coefficient of x^(n) in the expansion of (1+x)^(n) then C_(1)+2. C_(2)+3. C_(3)+..+n. C_(n)

Show that the coefficient of x^(n)y^(n) in the expansion of {(1+x)(1+y)(x+y)}^(n) is C_(0)^(3)+C_(1)^(3) +C_(2)^(3) +…C_(n)^(3) .

((x-4)^(2005)*(x+8)^(2008)(x+1))/(x^(2006)(x-2)^(3)*(x+3)^(5)0(x-6)(x+9)^(2010))<=0

((x-4)^(2005)*(x+8)^(2008)*(x+1))/(x^(2006)(x-2)^(3)(x+3)^(5)*(x-6)(x+9)^(2010))<0

Coefficient of x^(2012) in (1-x)^(2008)(1+x+x^2)^2007