What is factor 1+m^3 ?

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

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factor 1+m^3

factor

1 + m^{3}

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

Solution steps

1 + m^{3}

Write in the standard form

= m^{3} + 1

Rewrite

1

1^{3}

= m^{3} + 1^{3}

Apply Sum of Cubes Formula:

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

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

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

\frac{3}{x + 1} - \frac{1}{x + 4}

13 m - 2 m

4 x^{3} + 3 x^{2} - 28 x - 21

\frac{7}{2} \cdot \frac{1}{5}

\frac{6}{7} + \frac{2}{3}