What is factor 81x^2-400y^4 ?

The solution to factor 81x^2-400y^4 is (9x+20y^2)(9x-20y^2)

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factor 81x^2-400y^4

factor

81 x^{2} - 400 y^{4}

(9 x + 20 y^{2}) (9 x - 20 y^{2})

Solution steps

81 x^{2} - 400 y^{4}

81 x^{2} = (9 x)^{2}

400 y^{4} = (20 y^{2})^{2}

= (9 x)^{2} - (20 y^{2})^{2}

Apply Difference of Two Squares Formula:

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

(9 x)^{2} - (20 y^{2})^{2} = (9 x + 20 y^{2}) (9 x - 20 y^{2})

= (9 x + 20 y^{2}) (9 x - 20 y^{2})

4 x^{2} + 20 x + 3 y x + 15 y

56 \div 14

7 y^{2} - 23 x y + 6 x^{2}

5 n - (3 - 4 n)

- x^{2} - \frac{1}{2} + x

What is factor 81x^2-400y^4 ?
The solution to factor 81x^2-400y^4 is (9x+20y^2)(9x-20y^2)