(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)
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(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)
======以下答案可供参考======
供参考答案1:
(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)
=4的n次方+6的n次方。