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

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

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factor 625x^4-16y^4

factor

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

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

Solution steps

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

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

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

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

Apply Difference of Two Squares Formula:

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

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

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

Factor

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

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

\frac{2}{9} \cdot 3

2 x^{2} + 3 x - 27

x + 3 < 3 x - 1 < 2 x + 3

4 (3 + u) - u = 6 + 3 (u + 2)

(4 x - 3)^{2} + x \cdot 2 (4 x - 3) \cdot 4

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