What is factor 625m^5-256mn^4 ?

The solution to factor 625m^5-256mn^4 is m(25m^2+16n^2)(5m+4n)(5m-4n)

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factor 625m^5-256mn^4

factor

625 m^{5} - 256 m n^{4}

m (25 m^{2} + 16 n^{2}) (5 m + 4 n) (5 m - 4 n)

Solution steps

625 m^{5} - 256 m n^{4}

Factor out common term

m : m (625 m^{4} - 256 n^{4})

= m (625 m^{4} - 256 n^{4})

Factor

625 m^{4} - 256 n^{4} : (25 m^{2} + 16 n^{2}) (5 m + 4 n) (5 m - 4 n)

= m (25 m^{2} + 16 n^{2}) (5 m + 4 n) (5 m - 4 n)

2 4^{2} + 7^{2} = c^{2}

32 m^{2} + 28 m - 49

(1 - 82) (1 + 82)

\frac{16}{25}

\frac{3 x + 5}{2} = - 5

What is factor 625m^5-256mn^4 ?
The solution to factor 625m^5-256mn^4 is m(25m^2+16n^2)(5m+4n)(5m-4n)