Question

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

Answer 1

`(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-ab+b^2)`

therefore we let a=c and b=f

and we have

`c^3+f^3=(c+f)(c^2-cf+f^2)`

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

Answer 2

`c^3+f^3=(c+f)(c^2-cf+f2)`

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=(a+b)(a^2-ab+b^2)`.

Substitute `c and f` into the formula.

`c^3+f^3=(c+f)(c^2-cf+f^2)`