What is factor 8+u^3 ?

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

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factor 8+u^3

factor

8 + u^{3}

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

Solution steps

8 + u^{3}

Write in the standard form

= u^{3} + 8

Rewrite

8

2^{3}

= u^{3} + 2^{3}

Apply Sum of Cubes Formula:

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

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

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

2^{2} = 4

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

1 6^{4}

2 x + 4 y - 2 x

- 4 x (4 x + 3) + 4 x + 3 x

(8 x + 3) (2 x + 4)