What is factor 64+27v^3 ?

The solution to factor 64+27v^3 is (3v+4)(9v^2-12v+16)

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factor 64+27v^3

factor

64 + 27 v^{3}

(3 v + 4) (9 v^{2} - 12 v + 16)

Solution steps

64 + 27 v^{3}

Write in the standard form

= 27 v^{3} + 64

Apply exponent rules

= (3 v)^{3} + 4^{3}

Apply Sum of Cubes Formula:

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

(3 v)^{3} + 4^{3} = (3 v + 4) (3^{2} v^{2} - 4 \cdot 3 v + 4^{2})

= (3 v + 4) (3^{2} v^{2} - 4 \cdot 3 v + 4^{2})

Simplify

(3 v + 4) (3^{2} v^{2} - 4 \cdot 3 v + 4^{2}) : (3 v + 4) (9 v^{2} - 12 v + 16)

= (3 v + 4) (9 v^{2} - 12 v + 16)

x + \frac{1}{2} = \frac{11}{3}

x^{2} - 4 x + 18 = 0

10 x - 4 x + 3 < 3 (x + 6)

3 h = 7 (\frac{2}{7} - \frac{3}{7} h) - 10

7 k^{2} - 6 k - 1 \leq 0

What is factor 64+27v^3 ?
The solution to factor 64+27v^3 is (3v+4)(9v^2-12v+16)