What is factor a^3-27v^3 ?

The solution to factor a^3-27v^3 is (a-3v)(a^2+9v^2+3av)

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factor a^3-27v^3

factor

a^{3} - 27 v^{3}

(a - 3 v) (a^{2} + 9 v^{2} + 3 a v)

Solution steps

a^{3} - 27 v^{3}

Apply exponent rules

= a^{3} - (3 v)^{3}

Apply Difference of Cubes Formula:

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

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

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

Simplify

a^{2} + a \cdot 3 v + (3 v)^{2} : a^{2} + 3 v a + 9 v^{2}

= (a - 3 v) (a^{2} + 3 v a + 9 v^{2})

= (a - 3 v) (a^{2} + 9 v^{2} + 3 a v)

\frac{- 52}{- 13}

(5 n^{4})^{- 3}

\frac{7 ^{- 3}}{7 ^{- 2}}

6 (2 r + (- 1)) + 1

y^{2} - 6 y + 5

What is factor a^3-27v^3 ?
The solution to factor a^3-27v^3 is (a-3v)(a^2+9v^2+3av)