What is factor (u+2)^3+8v^3 ?

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

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factor (u+2)^3+8v^3

factor

(u + 2)^{3} + 8 v^{3}

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

Solution steps

(u + 2)^{3} + 8 v^{3}

Rewrite

(u + 2)^{3} + 8 v^{3}

(u + 2)^{3} + (2 v)^{3}

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

Apply Sum of Cubes Formula:

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

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

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

Refine

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

x^{2} - 9^{2} - 10

(64 x^{3})^{\frac{2}{3}}

[sin^{2} (x)]

4 d^{3} + 16 d e^{3} - 12 d f^{4}

\frac{e ^{10} + 4}{e ^{10} - 4}

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