(2的n次方+3的n次方)²-(6的n次方+9的n次方)(n为正整数)

问题描述:

(2的n次方+3的n次方)²-(6的n次方+9的n次方)(n为正整数)

(2的n次方+3的n次方)²-(6的n次方+9的n次方)
=(2的n次方+3的n次方)²-3的n次方(2的n次方+3的n次方)
=(2的n次方+3的n次方-3的n次方)(2的n次方+3的n次方)
=2的n次方(2的n次方+3的n次方)