(1-¼;)(1-1/9)(1-1/16)…(1-1/100).利用因式分解,計算.

(1-¼;)(1-1/9)(1-1/16)…(1-1/100).利用因式分解,計算.


(1-¼;)(1-1/9)(1-1/16)…(1-1/100)=(1-1/2)(1+1/2)(1-1/3)(1+1/3)(1-1/4)(1+1/4)…(1-1/100)(1+1/100)=(1/2)(3/2)(2/3)(4/3)(3/4)…(99/100)(101/100)=(1/2)(101/100)=101/200



利用因式分解計算15*86+15*14


=15*(86+14)
=15*100
=1500



利用因式分解計算28^2+56*72+72^2


28^2+56*72+72^2
=(28+72)^2
=10000



計算:3.14^2+6.28×0.86+0.86^2


3.14^2+6.28×0.86+0.86^2
=3.14^2+2×3.14×0.86+0.86^2
=(3.14+0.86)^2
=4^2
=16