What is factor 4x^2-9y^6 ?

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

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factor 4x^2-9y^6

factor

4 x^{2} - 9 y^{6}

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

Solution steps

4 x^{2} - 9 y^{6}

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

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

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

Apply Difference of Two Squares Formula:

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

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

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

\frac{5}{18} - \frac{1}{4} + \frac{7}{12}

x^{2} + 19 x = 0

- 6 + \frac{1}{4}

- 3 x = - 6

(t - 3)^{\frac{7}{2}} - (t - 3)^{\frac{3}{2}}

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