What is factor 1+64v^3 ?

The solution to factor 1+64v^3 is (4v+1)(16v^2-4v+1)

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factor 1+64v^3

factor

1 + 64 v^{3}

(4 v + 1) (16 v^{2} - 4 v + 1)

Solution steps

1 + 64 v^{3}

Write in the standard form

= 64 v^{3} + 1

Apply exponent rules

= (4 v)^{3} + 1^{3}

Apply Sum of Cubes Formula:

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

(4 v)^{3} + 1^{3} = (4 v + 1) (4^{2} v^{2} - 4 v + 1)

= (4 v + 1) (4^{2} v^{2} - 4 v + 1)

4^{2} = 16

= (4 v + 1) (16 v^{2} - 4 v + 1)

- 0 - 3

q^{2} - 12 q - 13

2 x^{2} + 2 x = 24

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