(2+3)(2²+3²)(2四次方+3的四次方)(2的八次方+3的八次方)(2的16次方+3的16次方)计算

问题描述:

(2+3)(2²+3²)(2四次方+3的四次方)(2的八次方+3的八次方)(2的16次方+3的16次方)
计算

=(2-3)(2+3)(2²+3²)(2四次方+3的四次方)(2的八次方+3的八次方)(2的16次方+3的16次方)/(2-3)
=(2²-3²)(2²+3²)(2四次方+3的四次方)(2的八次方+3的八次方)(2的16次方+3的16次方)/(-1)
反复用平方差
= (2的32次方-3的32次方)/(-1)
=3的32次方-2的32次方

(2+3)(2²+3²)(2^4+3^4)(2^8+3^8)(2^16+3^16)=[(2-3)(2+3)(2²+3²)(2^4+3^4)(2^8+3^8)(2^16+3^16)]/(2-3)=[(2²-3²)(2²+3²)(2^4+3^4)(2^8+3^8)(2^16+3^16)]/(2-3)=[(2^4...