因式分解 36j^2-100k^6m^4

解答

因式分解

36 j^{2} - 100 k^{6} m^{4}

4 (3 j + 5 k^{3} m^{2}) (3 j - 5 k^{3} m^{2})

求解步骤

36 j^{2} - 100 k^{6} m^{4}

因式分解出通项

4 : 4 (9 j^{2} - 25 k^{6} m^{4})

= 4 (9 j^{2} - 25 k^{6} m^{4})

因式分解

9 j^{2} - 25 k^{6} m^{4} : (3 j + 5 k^{3} m^{2}) (3 j - 5 k^{3} m^{2})

= 4 (3 j + 5 k^{3} m^{2}) (3 j - 5 k^{3} m^{2})

s im pl i f y \frac{7}{8} \cdot \frac{4}{5}

e x p an d (x + c)^{3}

\frac{1}{2} + 4 \frac{5}{8}

e x p an d - cos (3) (1 + 3 x^{2})

s im pl i f y - 7 \cdot 9