(2的4次方+1/4)(4的4次方+1/4)(6的4次方+1/4)(8的4次方+1/4)(10的4次方+1/4)/(1的4次方+1/4)(3的4次方+1/4)(5的4次方+1/4)(7的4次方+1/4)(9的4次方+1/4)=?
问题描述:
(2的4次方+1/4)(4的4次方+1/4)(6的4次方+1/4)(8的4次方+1/4)(10的4次方+1/4)/(1的4次方+1/4)(3的4次方+1/4)(5的4次方+1/4)(7的4次方+1/4)(9的4次方+1/4)=?
答
10^2+11^2=221q^4+1/4=1/4(4q^4+1)4q^4+1=(4q^4+1+4q^2)-4q^2=(2q^2+1)^2-(2q)^2=(2q^2+2q+1)(2q^2-2q+1)[q^2+(q+1)^2][(q-1)^2+q^2]代用上面的推倒4*2^4+1=(2*2^2+1)^2-(2*2)^2=(1^2+2^2)(2^2+3^2)4*4^4+1=(2*4^2+1...