因式分解 (8h^3-1)/(1-2h)

解答

因式分解

\frac{8 h ^{3} - 1}{1 - 2 h}

- 4 h^{2} - 2 h - 1

求解步骤

\frac{8 h ^{3} - 1}{1 - 2 h}

分解

8 h^{3} - 1 : (2 h - 1) (4 h^{2} + 2 h + 1)

= \frac{( 2 h - 1 ) ( 4 h ^{2} + 2 h + 1 )}{1 - 2 h}

消掉

\frac{( 2 h - 1 ) ( 4 h ^{2} + 2 h + 1 )}{1 - 2 h} : - (4 h^{2} + 2 h + 1)

= - (4 h^{2} + 2 h + 1)

取负

- (4 h^{2} + 2 h + 1) = - 4 h^{2} - 2 h - 1

= - 4 h^{2} - 2 h - 1

f a c t or - 2 (2 x (- 4 - 3) x - 3)

f a c t or (5 z - 4 x) + 3 y

f a c t or y - x + (- 3)

f a c t or - 4 (a + l) (a + 3) (a + l)

f a c t or 2 d (d + g) - d g (d - g)