What is factor 4x^2-81y^6 ?

The solution to factor 4x^2-81y^6 is (2x+9y^3)(2x-9y^3)

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factor 4x^2-81y^6

factor

4 x^{2} - 81 y^{6}

(2 x + 9 y^{3}) (2 x - 9 y^{3})

Solution steps

4 x^{2} - 81 y^{6}

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

81 y^{6} = (9 y^{3})^{2}

= (2 x)^{2} - (9 y^{3})^{2}

Apply Difference of Two Squares Formula:

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

(2 x)^{2} - (9 y^{3})^{2} = (2 x + 9 y^{3}) (2 x - 9 y^{3})

= (2 x + 9 y^{3}) (2 x - 9 y^{3})

9 (7 h - 4 k) + 10 k - 5 (6 k - 7 h)

2 - 72 + 3 - 32

\frac{- 4}{5} + \frac{- 7}{8}

10 w - 3 (8 w + 9)

\frac{12}{7}

What is factor 4x^2-81y^6 ?
The solution to factor 4x^2-81y^6 is (2x+9y^3)(2x-9y^3)