What is factor 8x^3-27v^3 ?

The solution to factor 8x^3-27v^3 is (2x-3v)(4x^2+6xv+9v^2)

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factor 8x^3-27v^3

factor

8 x^{3} - 27 v^{3}

(2 x - 3 v) (4 x^{2} + 6 xv + 9 v^{2})

Solution steps

8 x^{3} - 27 v^{3}

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

(2 x)^{3} - (3 v)^{3} = (2 x - 3 v) ((2 x)^{2} + 2 x \cdot 3 v + (3 v)^{2})

= (2 x - 3 v) ((2 x)^{2} + 2 x \cdot 3 v + (3 v)^{2})

Simplify

(2 x)^{2} + 2 x \cdot 3 v + (3 v)^{2} : 4 x^{2} + 6 xv + 9 v^{2}

= (2 x - 3 v) (4 x^{2} + 6 xv + 9 v^{2})

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

x^{2} - 12 x + 16 = 0

\frac{5}{5 + 6 i}

\frac{4 a ^{2} - 20 a + 25}{25 - 4 a ^{2}}

\frac{14}{4}

What is factor 8x^3-27v^3 ?
The solution to factor 8x^3-27v^3 is (2x-3v)(4x^2+6xv+9v^2)