Algebra Practice Test 2025 – Complete Exam Preparation

Question: 1 / 400

What does the expression (x² + 4x + 4) / (x + 2) simplify to?

x + 2

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.

Get further explanation with Examzify DeepDiveBeta

x + 4

x² + 2

2x + 2

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