Given that a and b are mutually opposite numbers, c and d are mutually reciprocal,|x|=1, find the second power of x -(a+b+cd) x+(a+b)2008 power +(-cd)2009 power =? Given that a and b are opposite numbers to each other, c and d are reciprocal,|x|=1, find the second power of x -(a+b+cd) x+(a+b) of 2008 power +(-cd) of 2009 power =?

In that context,
A+b=0
C*d=1
X=±1
X^2-(a+b+cd) x+(a+b)^2008+(-cd)^2009
=1-(0+1) X+0+(-1)^2009
=1-X-1
=-X
=±1

The result of calculation (-2)2009+(-2)2010 is () A.-2 B.-22009 C.2009 D.-22010

(-2)2009+(-2)2010
=(-2)2009+(-2)2009•(-2)
=(-2)2009(1-2)
=-1×(-2)2009
=22009;
Therefore, C.

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