What is factor 8a^3b^3+c^3 ?

The solution to factor 8a^3b^3+c^3 is (2ab+c)(4a^2b^2-2abc+c^2)

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factor 8a^3b^3+c^3

factor

8 a^{3} b^{3} + c^{3}

(2 ab + c) (4 a^{2} b^{2} - 2 ab c + c^{2})

Solution steps

8 a^{3} b^{3} + c^{3}

Rewrite

8 a^{3} b^{3}

(2 ab)^{3}

= (2 ab)^{3} + c^{3}

Apply Sum of Cubes Formula:

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

(2 ab)^{3} + c^{3} = (2 ab + c) ((2 ab)^{2} - 2 ab c + c^{2})

= (c + 2 ab) ((2 ab)^{2} - c 2 ab + c^{2})

Simplify

(2 ab + c) ((2 ab)^{2} - 2 ab c + c^{2}) : (2 ab + c) (4 a^{2} b^{2} - 2 ab c + c^{2})

= (2 ab + c) (4 a^{2} b^{2} - 2 ab c + c^{2})

\frac{- 1 + i + - 8 - 10 i}{2}

- 1

(tan (2 x))^{2}

g (3 a)

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

What is factor 8a^3b^3+c^3 ?
The solution to factor 8a^3b^3+c^3 is (2ab+c)(4a^2b^2-2abc+c^2)