The calculation of mathematics polynomials in Grade Seven (1 + 1 / 2) × (1 + 1 / 2 & # 710; 2) × (1 + 1 / 2 & # 710; 4) × (1 + 1 / 2 & # 710; 8) + 1 / 2 & # 710; 15_ Thank you

The calculation of mathematics polynomials in Grade Seven (1 + 1 / 2) × (1 + 1 / 2 & # 710; 2) × (1 + 1 / 2 & # 710; 4) × (1 + 1 / 2 & # 710; 8) + 1 / 2 & # 710; 15_ Thank you

Multiply by (1 - / 2) and apply the square difference formula repeatedly
（1+1／2）×（1＋1／2ˆ2）×（1＋1／2ˆ4）×（1＋1／2ˆ8)＋1／2ˆ15
=（1-1/2）*（1+1／2）×（1＋1／2ˆ2）×（1＋1／2ˆ4）×（1＋1／2ˆ8)/[（1-1/2）]＋1／2ˆ15
=(1-1/2^2)(1+1/2^2)(1＋1／2ˆ4）×（1＋1／2ˆ8)/[（1-1/2）]＋1／2ˆ15
=(1-1/2^4)(1＋1／2ˆ4）×（1＋1／2ˆ8)/[（1-1/2）]＋1／2ˆ15
=(1-1／2ˆ8）×（1＋1／2ˆ8)/[（1-1/2）]＋1／2ˆ15
=(1-1/2^16)/[（1-1/2）]＋1／2ˆ15
=1/2-1/2^15+1/2^15
=1/2