Question

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

Answer 1

`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! :)