2011/(2010的2次方+4020+1)用因式分解计算

问题描述:

2011/(2010的2次方+4020+1)用因式分解计算

令a=2010,则4020=2a,2011=a+1
原式= (a+1)/(a²+2a+1)
=(a+1)/(a+1)²
=1/(a+1)
=1/2011