What is factor 169m^{12}-100n^6 ?

The solution to factor 169m^{12}-100n^6 is (13m^6+10n^3)(13m^6-10n^3)

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factor 169m^{12}-100n^6

factor

169 m^{12} - 100 n^{6}

(13 m^{6} + 10 n^{3}) (13 m^{6} - 10 n^{3})

Solution steps

169 m^{12} - 100 n^{6}

169 m^{12} = (13 m^{6})^{2}

100 n^{6} = (10 n^{3})^{2}

= (13 m^{6})^{2} - (10 n^{3})^{2}

Apply Difference of Two Squares Formula:

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

(13 m^{6})^{2} - (10 n^{3})^{2} = (13 m^{6} + 10 n^{3}) (13 m^{6} - 10 n^{3})

= (13 m^{6} + 10 n^{3}) (13 m^{6} - 10 n^{3})

(3 x^{2} + 7 x^{4}) \cdot (5 x^{1} - 7 + 8 x^{4} + 9)

(10 - 2 x)^{3}

729 + (x - 2)^{3}

8 n^{3} - 27 m^{3}

\frac{1}{2 \cdot 2 ^{n - 1} \cdot { 2 ( 2 ^{n} - 1 ) + ( 2 ^{n - 1} - 1 ) \cdot 2 }}

What is factor 169m^{12}-100n^6 ?
The solution to factor 169m^{12}-100n^6 is (13m^6+10n^3)(13m^6-10n^3)