What is factor 1+v^3 ?

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

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factor 1+v^3

factor

1 + v^{3}

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

Solution steps

1 + v^{3}

Write in the standard form

= v^{3} + 1

Rewrite

1

1^{3}

= v^{3} + 1^{3}

Apply Sum of Cubes Formula:

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

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

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

1 + \frac{x}{2}

(1 + x + x^{2} + x^{3} + x^{4})^{4}

\frac{8}{15} \div \frac{12}{25}

\frac{18}{26}

\frac{18}{52}