What is factor 25m^8-9n^6 ?

The solution to factor 25m^8-9n^6 is (5m^4+3n^3)(5m^4-3n^3)

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factor 25m^8-9n^6

factor

25 m^{8} - 9 n^{6}

(5 m^{4} + 3 n^{3}) (5 m^{4} - 3 n^{3})

Solution steps

25 m^{8} - 9 n^{6}

25 m^{8} = (5 m^{4})^{2}

9 n^{6} = (3 n^{3})^{2}

= (5 m^{4})^{2} - (3 n^{3})^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

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

= (5 m^{4} + 3 n^{3}) (5 m^{4} - 3 n^{3})

x^{2} + y^{2} + 4 x - 4 x - 4 x - \frac{1}{0}

\frac{2 ^{5 x}}{7 ^{x}}

62470 - 42180 - 3 a^{1.52021 E 15}

2 a^{3} + 16 b^{3} - 5 a - 10 b

m^{8} + m^{6} - m

What is factor 25m^8-9n^6 ?
The solution to factor 25m^8-9n^6 is (5m^4+3n^3)(5m^4-3n^3)