（1-¼）（1-1/9）（1-1/16）… (1-1 / 100). Factorize and calculate

（1-¼）（1-1/9）（1-1/16）… (1-1 / 100). Factorize and calculate

（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

Using factorization to calculate 15 * 86 + 15 * 14

=15*（86+14）
=15*100
=1500

Calculating 28 ^ 2 + 56 * 72 + 72 ^ 2 by factorization

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

Calculation: 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