Question

Phân tích thành nhân tử:

\(x^6-x^4-9x^3+9x^2\)

 

 

Answer 1

= (x^6 - x^4) - (9x^3 - 9x^2)

= x^4 (x^2 +1) - 9x^2 (x - 1)

= x^4 (x + 1) (x - 1) - 9x^2 (x - 1)

= (x - 1) {x^4 (x + 1) - 9x^2}

= (x - 1) (x^5 + x^4 - 9x^2)

= (x -1) {x^2 (x^3 + x^2 - 9)}

Answer 2

x⁶ - x ⁴- 9x³ + 9x²

= (x⁶ - x ⁴) - (9x³ - 9x²)

= x⁴ (x² - 1) - 9x² (x - 1)

= x⁴ (x-1) (x+1) - 9x² (x - 1)

= x² (x-1) (x² (x+1) - 9)

= x² (x-1) (x³ + x² - 9)