Is there anything wrong with completing the square this way?

3x^2 + 12x + 27
/3 /3 /3

3(x^2 + 4x + 9),

3(x^2 + 4x + 4 + 9 - 4)

(x^2 + 4x + 4) = (x+2)^2

3((x + 2)^2 +5)

This way is different then how it was taught to me but this way makes more sense to me.

Question

Is there anything wrong with completing the square this way?

3x^2 + 12x + 27
/3     /3    /3

3(x^2 + 4x + 9),

3(x^2 + 4x + 4 + 9 - 4)

(x^2 + 4x + 4) = (x+2)^2

3((x + 2)^2 +5)


This way is different then how it was taught to me but this way makes more sense to me.

anonymous · Answer

nothing wrong with that...
expression in the last line is equivalent to the first

anonymous · Answer

@dpalnc the (x+2)^2 gets expanded first right then x^2 + 4x + 4 gets 5 added to it so it's x^2 + 4x + 9 right?

Those are the right order of operations occuring right?

anonymous · Answer

yep