Answer:
see explanation
Step-by-step explanation:
Given
x² + 4x + 6
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² + 4x
= x² + 2(2)x + 4 - 4 + 6
= (x + 2)² + 2
This does not reduce to a difference of squares and cannot be factored further