What is factor 100m^2n^4-169y^6 ?

The solution to factor 100m^2n^4-169y^6 is (10mn^2+13y^3)(10mn^2-13y^3)

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factor 100m^2n^4-169y^6

factor

100 m^{2} n^{4} - 169 y^{6}

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

Solution steps

100 m^{2} n^{4} - 169 y^{6}

100 m^{2} n^{4} = (10 m n^{2})^{2}

169 y^{6} = (13 y^{3})^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

- 2 x + 2

- 2 x + x

\frac{5 a}{9} - \frac{2 a}{9}

(3 x - 5 y)^{2}

\frac{64}{16}

What is factor 100m^2n^4-169y^6 ?
The solution to factor 100m^2n^4-169y^6 is (10mn^2+13y^3)(10mn^2-13y^3)