What is factor 8+m^3 ?

The solution to factor 8+m^3 is (m+2)(m^2-2m+4)

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factor 8+m^3

factor

8 + m^{3}

(m + 2) (m^{2} - 2 m + 4)

Solution steps

8 + m^{3}

Write in the standard form

= m^{3} + 8

Rewrite

8

2^{3}

= m^{3} + 2^{3}

Apply Sum of Cubes Formula:

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

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

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

2^{2} = 4

= (m + 2) (m^{2} - 2 m + 4)

(4 x + 9 y)^{2}

4 d^{2} + 24 d + 35

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

\frac{8}{3} + 8