因式分解 15x^4y^3z^2-25x^5y^2z+30x^2y^2z

解答

因式分解

15 x^{4} y^{3} z^{2} - 25 x^{5} y^{2} z + 30 x^{2} y^{2} z

5 x^{2} y^{2} z (3 x^{2} yz - 5 x^{3} + 6)

求解步骤

15 x^{4} y^{3} z^{2} - 25 x^{5} y^{2} z + 30 x^{2} y^{2} z

因式分解出通项

5 x^{2} y^{2} z : 5 x^{2} y^{2} z (3 x^{2} yz - 5 x^{3} + 6)

= 5 x^{2} y^{2} z (3 x^{2} yz - 5 x^{3} + 6)

f a c t or x^{9} - 125 y^{3} z^{6}

3 (3 w - 5) = 12

\frac{k}{- 12} \leq - 7

5 m + 12 = m + 3

f a c t or 3 y^{2 + 24 y + 48}