证明5^12+2^10=14657×16657
问题描述:
证明5^12+2^10=14657×16657
答
=(5^6)^2+(2^5)^2=(5^6+2^5)^2-2*5^6*2^5=15657^2-1000^2=(15657+1000)(15657-1000)=14657*16657
证明5^12+2^10=14657×16657
=(5^6)^2+(2^5)^2=(5^6+2^5)^2-2*5^6*2^5=15657^2-1000^2=(15657+1000)(15657-1000)=14657*16657