What is factor 16x^2-25y^4 ?

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

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factor 16x^2-25y^4

factor

16 x^{2} - 25 y^{4}

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

Solution steps

16 x^{2} - 25 y^{4}

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

25 y^{4} = (5 y^{2})^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

- 5 i (i)

(a^{2} + 4) (a^{2} - 4)

(3 - 2)^{2}

2 \frac{π}{3}

(5 - 6 i) + (- 6 - 5 i)

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