Algebra Practice Test 2026 – The Complete Guide to Mastering Your Exam Success!

To simplify the expression \((x² + 4x + 4) / (x + 2)\), we first observe that the numerator, \(x² + 4x + 4\), is a perfect square trinomial. This means it can be factored into \((x + 2)(x + 2)\) or \((x + 2)²\).

Next, we rewrite the expression as follows:

\[

\frac{(x + 2)²}{(x + 2)}

\]

In this expression, we see that both the numerator and the denominator share the common factor of \((x + 2)\). We can simplify by canceling out the common factor:

\[

= x + 2

\]

This simplification shows that the expression indeed reduces to \(x + 2\). Thus, the correct answer is that the expression simplifies to \(x + 2\).

The other choices do not reflect the proper simplification of the expression derived from the given terms, confirming that \(x + 2\) is the accurate answer.