(X+5)2

To expand the expression \((X + 5)^2\), you can use the formula for the square of a binomial, which states that \((a + b)^2 = a^2 + 2ab + b^2\). In this case, let \(a = X\) and \(b = 5\). Now, applying the formula: \[ (X + 5)^2 = X^2 + 2(X)(5) + 5^2 \] Calculating each term: 1. \(X^2\) remains \(X^2\). 2. \(2(X)(5) = 10X\). 3. \(5^2 = 25\). Putting it all together: \[ (X + 5)^2 = X^2 + 10X + 25 \] So, the expanded form of \((X + 5)^2\) is: \[ X^2 + 10X + 25 \]