x^4+81/4 (因式分解)
问题描述:
x^4+81/4 (因式分解)
答
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)