What is factor 4a^2-9b^6 ?

The solution to factor 4a^2-9b^6 is (2a+3b^3)(2a-3b^3)

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factor 4a^2-9b^6

factor

4 a^{2} - 9 b^{6}

(2 a + 3 b^{3}) (2 a - 3 b^{3})

Solution steps

4 a^{2} - 9 b^{6}

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

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

= (2 a)^{2} - (3 b^{3})^{2}

Apply Difference of Two Squares Formula:

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

(2 a)^{2} - (3 b^{3})^{2} = (2 a + 3 b^{3}) (2 a - 3 b^{3})

= (2 a + 3 b^{3}) (2 a - 3 b^{3})

\frac{60 a ^{2} b ^{3}}{24 c}

\frac{2}{3} \div \frac{1}{12}

x (y - z) - w (y - z)

(2 x^{5} - 3 x^{2} + 4) - (x^{5} + 2 x^{2} + 7)

x^{3} - 4 x^{2} + 3

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