x^4+81/4 (因式分解)

问题描述:

x^4+81/4 (因式分解)

X^4+81/4
原式=(x^2)^2+(9/2)^2
=[(x^2)^2+(9/2)^2+9x^2]-9x^2
=(x^2+9/2)^2-(3x)^2
=(x^2+9/2-3x)(x^2+9/2+3x)