证明：
5^12+2^10
=(5^6+2^5)²-2×5^6×2^5
=(5^6+2^5)²-5^6×2^6
=(5^6+2^5+5³×2³)(5^6+2^5-5³×2³)
=[5³(5³+2³)+32][5³(5³-2³)+32]
=[125(125+8)+32][125(125-8)+32]
=(15625+1000+32)(15625-1000+32)
=16657×14657