(1- x/2)的平方乘以(1+ x/2)的平方乘以(1+ x^2/4)^2的值

问题描述:

(1- x/2)的平方乘以(1+ x/2)的平方乘以(1+ x^2/4)^2的值

(1 - x/2)^2 * (1 + x/2)^2 * (1 + x^2/4)^2
= ((1- x/2)*(1 + x/2))^2 * (1 + x^2/4)^2
= (1 - x^2/4)^2 * (1 + x^2/4)^2
= ((1 - x^2/4)*(1 + x^2/4))^2
= (1 - x^4/16)^2
= 1 - x^4/8 + x^8/256