必采纳(1+3)*(1+3平方)*(1+3四次方)*(1+3八次方)*(1+3十六次方)
问题描述:
必采纳(1+3)*(1+3平方)*(1+3四次方)*(1+3八次方)*(1+3十六次方)
答
(1+3)*(1+3平方)*(1+3四次方)*(1+3八次方)*(1+3十六次)
=(1+3)*(1+3平方)*(1+3四次方)*(1+3八次方)*(1+3十六次)*(1-3)/(1-3)
=(1-3平方)*(1+3平方)*(1+3四次方)*(1+3八次方)*(1+3十六次)/(1-3)
=(1-3四次方)*(1+3四次方)*(1+3八次方)*(1+3十六次)/(1-3)
=(1-3八次方)*(1+3八次方)*(1+3十六次)/(1-3)
=(1-3十六次)*(1+3十六次)/(1-3)
=(1-3三十二次)/(1-3)
=-1/2*(1-3三十二次)