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

2 Answers

Answer:

#(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...

Feb 26, 2016

Answer:

#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)#