化简:100²÷(99²+198+1)²,到底是1还是1/10000啊?

问题描述:

化简:100²÷(99²+198+1)²,到底是1还是1/10000啊?

100²÷(99²+198+1)²
=100²÷(100²)²
=

100²÷(99²+198+1)²
=100²÷(99²+2*99+1)²
=100²÷[(99+1)^2]²
=1/100^2
=1/10000

100²÷(99²+198+1)²
=100²÷[(99+1)²]²
=100²÷100^4
=1/10000