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利用因式分解计算:(1-1/2²)(1-1/3²)(1-1/4²)
2个回答
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(1-1/2²)(1-1/3²)(1-1/4²)
=(1+1/2)(1-1/2)(1+1/3)(1-1/3)(1+1/4)(1-1/4)
=3/2乘以1/2乘以4/3乘以2/3乘以5/4乘以3/4
=5/2乘以1/4
=5/8
=(1+1/2)(1-1/2)(1+1/3)(1-1/3)(1+1/4)(1-1/4)
=3/2乘以1/2乘以4/3乘以2/3乘以5/4乘以3/4
=5/2乘以1/4
=5/8
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