已知x=2011,则|4x2-5x+9|-4|x2+2x+2|+3x+7=_.

问题描述:

已知x=2011,则|4x2-5x+9|-4|x2+2x+2|+3x+7=______.

|4x2-5x+9|-4|x2+2x+2|+3x+7,
=4x2-5x+9-4x2-8x-8+3x+7,
=-10x+8,
当x=2011时,原式=-10×2011+8=-20102.
故答案为:-20102.