因数 (5h^3-8h)+(-2h^3-h^2-2h)

解

因数

(5 h^{3} - 8 h) + (- 2 h^{3} - h^{2} - 2 h)

h (3 h + 5) (h - 2)

解答ステップ

(5 h^{3} - 8 h) + (- 2 h^{3} - h^{2} - 2 h)

因数

5 h^{3} - 8 h : h (5 h^{2} - 8)

因数

- 2 h^{3} - h^{2} - 2 h : - h (2 h^{2} + h + 2)

= h (5 h^{2} - 8) - h (2 h^{2} + h + 2)

共通項をくくり出す

h

= h (5 h^{2} - 8 - (2 h^{2} + h + 2))

拡張

5 h^{2} - 8 - (2 h^{2} + h + 2) : 3 h^{2} - h - 10

= h (3 h^{2} - h - 10)

因数

3 h^{2} - h - 10 : (3 h + 5) (h - 2)

= h (3 h + 5) (h - 2)