How do you factor $c^{3} + f^{3}$ $c^3 +f^3$ ?

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How do you factor $c^{3} + f^{3}$ $c^3 +f^3$ ?

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Answer 1 · 2016-02-26T11:13:51

$(c + f) (c^{2} - c f + f^{2})$ $(c+f)(c^2-cf+f^2)$

Explanation:

the formula for factoring sum of two cubes is

$(a^{3} + b^{3}) = (a + b) (a^{2} - a b + b^{2})$ $(a^3+b^3)=(a+b)(a^2-ab+b^2)$

therefore we let a=c and b=f

and we have

$c^{3} + f^{3} = (c + f) (c^{2} - c f + f^{2})$ $c^3+f^3=(c+f)(c^2-cf+f^2)$

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

Answer 2 · 2016-02-26T11:17:28

$c^{3} + f^{3} = (c + f) (c^{2} - c f + f 2)$ $c^3+f^3=(c+f)(c^2-cf+f2)$

Explanation:

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

Substitute $c and f$ $c and f$ into the formula.

$c^{3} + f^{3} = (c + f) (c^{2} - c f + f^{2})$ $c^3+f^3=(c+f)(c^2-cf+f^2)$

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How do you factor $c^{3} + f^{3}$ $c^3 +f^3$ ?

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