因式分解 49r^3+42r^2-42r-36

解答

因式分解

49 r^{3} + 42 r^{2} - 42 r - 36

(7 r + 6) (7 r^{2} - 6)

求解步骤

49 r^{3} + 42 r^{2} - 42 r - 36

= (49 r^{3} + 42 r^{2}) + (- 42 r - 36)

从

49 r^{3} + 42 r^{2}

分解出因式

7 r^{2}

7 r^{2} (7 r + 6)

从

- 42 r - 36

分解出因式

- 6

- 6 (7 r + 6)

= 7 r^{2} (7 r + 6) - 6 (7 r + 6)

因式分解出通项

7 r + 6

= (7 r + 6) (7 r^{2} - 6)

f a c t or 12 x y - 9 x - 8 y + 6

5 x - 2 = 2 x + 13

(x + 2) (x + 3) + 3 (x + 2) \leq 0

f a c t or a^{2} - 13 ab + 42 b^{2}

f a c t or 3 w^{3} + 7 w^{2} + 15 w + 35