How do I factor a^3 + 216 ?

Question

856 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-09T14:15:56

#=> (a + 6) * (a^2 - 6a + 36)#

#a^3 + 216#

It’s in the form #x^3 + y^3#

#(x^3 + y^3) = (x^2 - xy + y^2)#

#=> a^3 + 6^3#

#=> (a + 6) * (a^2 - 6a + 6^2)#

#=> (a + 6) * (a^2 - 6a + 36)#

Answer 2 · 2018-05-09T14:16:03

#a³+216=(a+6)(a²-6a+36)#

#a³+216#
#=a³+6³#
We know that :
#a³+b³=(a+b)(a²-ab+b²)#
So:#a³+216=(a+6)(a²-6a+36)#
\0/ here's our answer !