若M=(x^a+2x^2+1)(x^4-2x^2+1),N=(x^4+x^2+1)(x^4-x^2+1)试比较M与N的大小

问题描述:

若M=(x^a+2x^2+1)(x^4-2x^2+1),N=(x^4+x^2+1)(x^4-x^2+1)试比较M与N的大小

∵ M=(x^4+2x^2+1)(x^4-2x^2+1),N=(x^4+x^2+1)(x^4-x^2+1) ∴ M/N=[(x^4+2x^2+1)(x^4-2x^2+1)] / [(x^4+x^2+1)(x^4-x^2+1)] ={(x^4+x^2+1)(x^2-1)^2 + [X(X^2-1)]^2 } / [(x^4+x^2+1)(x^4-x^2+1)] =(x^4+x^2+1)(x^2-...