因式分解 (x-6)(x+8)^2-(x-6)^2(x+8)

解答

因式分解

(x - 6) (x + 8)^{2} - (x - 6)^{2} (x + 8)

14 (x - 6) (x + 8)

求解步骤

(x - 6) (x + 8)^{2} - (x - 6)^{2} (x + 8)

因式分解出通项

(x - 6) (x + 8) : (x - 6) (x + 8) (x + 8 - (x - 6))

= (x - 6) (x + 8) (x + 8 - (x - 6))

展开

x + 8 - (x - 6) : 14

= (x - 6) (x + 8) \cdot 14

= 14 (x - 6) (x + 8)

\frac{2 x + 1}{x - 3} < - 1

x^{2} - 3 x = 1

s im pl i f y \frac{1}{- 1 + y} (- x + \frac{x ^{2}}{2})

\frac{1}{3} (6 + x) - 5 = 12

s im pl i f y 4 (x + h)^{2} - 2 (x + h) - (4 x^{2} - 2 x)