因式分解 5x(x²-2x+1)+x²(x-8)

问题描述:

因式分解 5x(x²-2x+1)+x²(x-8)

5x(x²-2x+1)+x²(x-8)
=x(5x^2-10x+5+x^2-8x)
=x(6x^2-18x+5)
=x(x-(9+sqrt(51))/6)(x-(9-sqrt(51))/6)
【sqrt表示根号】

5x^3-10x^2+5x+x^3-8x^2
=6x^3-18x^2+5x
=x(6x^2-18x+5)