# How do you factor c^3 +f^3?

$\left(c + f\right) \left({c}^{2} - c f + {f}^{2}\right)$

#### Explanation:

the formula for factoring sum of two cubes is

$\left({a}^{3} + {b}^{3}\right) = \left(a + b\right) \left({a}^{2} - a b + {b}^{2}\right)$

therefore we let a=c and b=f

and we have

${c}^{3} + {f}^{3} = \left(c + f\right) \left({c}^{2} - c f + {f}^{2}\right)$

God bless....I hope the explanation is useful...

Feb 26, 2016

${c}^{3} + {f}^{3} = \left(c + f\right) \left({c}^{2} - c f + f 2\right)$

#### Explanation:

${c}^{3} + {f}^{3}$ represents a sum of cubes, ${a}^{3} + {b}^{3}$, where $a = c$ and $b = f$. The formula for the factorization of a sum of cubes is ${a}^{3} + {b}^{3} = \left(a + b\right) \left({a}^{2} - a b + {b}^{2}\right)$.

Substitute $c \mathmr{and} f$ into the formula.

${c}^{3} + {f}^{3} = \left(c + f\right) \left({c}^{2} - c f + {f}^{2}\right)$