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:
- \(X^2\) remains \(X^2\).
- \(2(X)(5) = 10X\).
- \(5^2 = 25\).
Putting it all together:
\[ (X + 5)^2 = X^2 + 10X + 25 \]
So, the expanded form of \((X + 5)^2\) is:
\[ X^2 + 10X + 25 \]