How do you factor by grouping #x^3 + 3x^2 + 6x + 18#?

1 Answer
Mar 3, 2018

Answer:

#color(red)(= (x^2+6)(x+3))#

Explanation:

[Grouping the first 2 terms together and the 2md 2 terms together.]

#x^3+3x^2+6x+18#

#= (x^3+3x^2)+(6x+18)# [Common factor]

#= x^2(x+3)+6(x+3)# {Taking the common bracket]

#color(red)(= (x^2+6)(x+3))#

~Hope this helps! :)