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