Question

（X+1）（2X+1）（3X—1）（4X—1）+六X的四次方,因式分解

Answer 1

解

(x+1)(2x+1)(3x-1)(4x-1)+6x^4

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

=(3x^2+2x-1)(8x^2+2x-1)+6x^4

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

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

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

=(5x^2+2x-1)(6x^2+2x-1)