Question

x^4+x^2+1怎么因式分解

Answer 1

x^4+x^2+1
=(x^4+2x^2+1)-x^2
=(x²+1)²-x²
=[(x²+1)+x][(x²+1-x)]
=(x²+x+1)(x²-x+1)

Answer 2

x^4+x^2+1
=（x^4+2x^2+1）-x^2
=(x^2+1)^2-x^2
=(x^2+x+1)(x^2-x+1)