Question

x^4（四次方）+x³-3x²-4x-4 帮忙因式分解

快答，在线等

Answer 1

x^4+x^3-3x^2-4x-4
=(x^4+x^3+x^2)-4x^2-4x-4
=x^2(x^2+x+1)-4(x^2+x+1)
=(x^2+x+1)(x^2-4)
=(x^2+x+1)(x+2)(x-2)

追问

还有一题，x^4+x^3+6x^2+5x+5

追答

x^4+x^3+6x^2+5x+5
=(x^4+x^3+x^2)+(5x^2+5x+5)
=x^2(x^2+x+1)+5(x^2+x+1)
=(x^2+5)(x^2+x+1)

追问

a^4+5a^2b^2+9b^4
4a^4+24a^2b^2+25b^4

Answer 2

x^4+x^3-3x^2-4x-4
=(x^4+x^3+x^2)-4x^2-4x-4
=x^2(x^2+x+1)-4(x^2+x+1)
=(x^2+x+1)(x^2-4)
=(x^2+x+1)(x+2)(x-2)

追问

a^4+5a^2b^2+9b^4
4a^4+24a^2b^2+25b^4