What is factor 16x^4-625y^4 ?

The solution to factor 16x^4-625y^4 is (4x^2+25y^2)(2x+5y)(2x-5y)

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factor 16x^4-625y^4

factor

16 x^{4} - 625 y^{4}

(4 x^{2} + 25 y^{2}) (2 x + 5 y) (2 x - 5 y)

Solution steps

16 x^{4} - 625 y^{4}

16 x^{4} = (4 x^{2})^{2}

625 y^{4} = (25 y^{2})^{2}

= (4 x^{2})^{2} - (25 y^{2})^{2}

Apply Difference of Two Squares Formula:

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

(4 x^{2})^{2} - (25 y^{2})^{2} = (4 x^{2} + 25 y^{2}) (4 x^{2} - 25 y^{2})

= (4 x^{2} + 25 y^{2}) (4 x^{2} - 25 y^{2})

Factor

4 x^{2} - 25 y^{2} : (2 x + 5 y) (2 x - 5 y)

= (4 x^{2} + 25 y^{2}) (2 x + 5 y) (2 x - 5 y)

4 x^{2} - 8 = - 20

- 2 x \leq - 4

- 4 - - 162 - 81 - - 72

- 2 m^{2} + 19 m - 24

2 (x + \frac{3}{4})^{2} - 5 = 123

What is factor 16x^4-625y^4 ?
The solution to factor 16x^4-625y^4 is (4x^2+25y^2)(2x+5y)(2x-5y)