因式分解 16x^5-81x

解答

因式分解

16 x^{5} - 81 x

x (4 x^{2} + 9) (2 x + 3) (2 x - 3)

求解步骤

16 x^{5} - 81 x

因式分解出通项

x : x (16 x^{4} - 81)

= x (16 x^{4} - 81)

因式分解

16 x^{4} - 81 : (4 x^{2} + 9) (2 x + 3) (2 x - 3)

= x (4 x^{2} + 9) (2 x + 3) (2 x - 3)

z^{2} - 10 z = - 17

48 x - 16 x^{2} = 0

\frac{5}{5} - \frac{2}{5} x = 540 - \frac{3}{5} x - 86

s im pl i f y \frac{8 + 192}{4}

f a c t or a c - a d + b c - b d