What is factor 25x^6-4y^4 ?

The solution to factor 25x^6-4y^4 is (5x^3+2y^2)(5x^3-2y^2)

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factor 25x^6-4y^4

factor

25 x^{6} - 4 y^{4}

(5 x^{3} + 2 y^{2}) (5 x^{3} - 2 y^{2})

Solution steps

25 x^{6} - 4 y^{4}

25 x^{6} = (5 x^{3})^{2}

4 y^{4} = (2 y^{2})^{2}

= (5 x^{3})^{2} - (2 y^{2})^{2}

Apply Difference of Two Squares Formula:

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

(5 x^{3})^{2} - (2 y^{2})^{2} = (5 x^{3} + 2 y^{2}) (5 x^{3} - 2 y^{2})

= (5 x^{3} + 2 y^{2}) (5 x^{3} - 2 y^{2})

\frac{x ^{4}}{x ^{3} + 2 x ^{2} - 3 x}

\frac{400}{1000}

9 m^{3}

3 \cdot 2 \frac{2}{3}

What is factor 25x^6-4y^4 ?
The solution to factor 25x^6-4y^4 is (5x^3+2y^2)(5x^3-2y^2)