a²＋b²＝1,ab=12／25
(a+b)²=a²＋b²+2ab=49／25 ,a+b=±7／5
(a-b)²=a²＋b²-2ab=1／25 ,a-b=±1／5
∴a²-b²=(a+b)(a-b)=±7／25
a^4－b^4=(a²＋b²)(a²-b²)=±7／25
a^6－b^6=(a³+b³)(a³-b³)=(a+b)(a²-ab+b³)(a-b)(a²+ab+b²)
=(a²-b²))(a²-ab+b³)(a²+ab+b²)
=±7／25 ×13／25 ×37／25
=±3367／15625