(a+2)²

To expand the expression \((a + 2)^2\), you can use the binomial expansion formula, which states that \((x + y)^2 = x^2 + 2xy + y^2\).

In this case, \(x = a\) and \(y = 2\).

Applying the formula:

\[ (a + 2)^2 = a^2 + 2(a)(2) + 2^2 \]

Now, calculate each term:

1. \(a^2\) remains \(a^2\).
2. \(2(a)(2) = 4a\).
3. \(2^2 = 4\).

Putting it all together:

\[ (a + 2)^2 = a^2 + 4a + 4 \]

So, the expanded form of \((a + 2)^2\) is:

\[ a^2 + 4a + 4 \]