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

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

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factor 81x^2-4v^2

factor

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

(9 x + 2 v) (9 x - 2 v)

Solution steps

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

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

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

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

Apply Difference of Two Squares Formula:

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

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

= (9 x + 2 v) (9 x - 2 v)

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

\frac{6 x + 3}{3} = \frac{7 x - 2}{5}

\frac{13 !}{2 ! ( 13 - 2 ) !}

x^{2} - 11 x y - 12 y^{2}

800 a^{3} + 2400 a^{2} + 2400 a + 800