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

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

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factor 4x^2-81y^4

factor

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

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

Solution steps

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

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

81 y^{4} = (9 y^{2})^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

x \times x

(x - 1)^{2} (x + 2)

0 \div 1

(x^{2} - 10) (x^{2} + 5)

2 x (x)

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