What is factor 1+a^3 ?

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

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factor 1+a^3

factor

1 + a^{3}

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

Solution steps

1 + a^{3}

Write in the standard form

= a^{3} + 1

Rewrite

1

1^{3}

= a^{3} + 1^{3}

Apply Sum of Cubes Formula:

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

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

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

(5 a^{2} b^{3} c^{4}) (6 a^{3} b^{4} c^{2})

\frac{4 + 2}{2}

3200

\frac{a + 2}{6} < 0

x^{2} - 8 x + 7