利用因式分解计算:(1-1⼀2눀)(1-1⼀3눀)···(1-1⼀9눀)(1-1⼀10눀)

2024-11-08 09:35:41
推荐回答(1个)
回答(1):

:(1-1/2²)(1-1/3²)···(1-1/9²)(1-1/10²)
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)·····(1-1/10)(1+1/10)
=1/2×3/2×2/3×4/3×···×9/10×11/10
=1/2×11/10
=11/20