因式分解 m^6n-m^2n^5

解答

因式分解

m^{6} n - m^{2} n^{5}

m^{2} n (m^{2} + n^{2}) (m + n) (m - n)

求解步骤

m^{6} n - m^{2} n^{5}

因式分解出通项

m^{2} n : m^{2} n (m^{4} - n^{4})

= m^{2} n (m^{4} - n^{4})

因式分解

m^{4} - n^{4} : (m^{2} + n^{2}) (m + n) (m - n)

= m^{2} n (m^{2} + n^{2}) (m + n) (m - n)

s im pl i f y \frac{2}{3 + 5}

f a c t or 24 x^{3} y^{4} - 18 x^{2} y^{5}

f a c t or x^{2} + 12 x + 36 - 9 y^{2}

s im pl i f y (- \frac{4}{5}) - \frac{7}{8}

f a c t or 3 x^{3} - 12 x^{2} - 9 x