(a-5)(a-3)

To expand the expression \((a - 5)(a - 3)\), you can use the distributive property (also known as the FOIL method for binomials).

Here's the step-by-step expansion:

1. First: Multiply the first terms: \(a \times a = a^2\)
2. Outer: Multiply the outer terms: \(a \times (-3) = -3a\)
3. Inner: Multiply the inner terms: \(-5 \times a = -5a\)
4. Last: Multiply the last terms: \(-5 \times -3 = 15\)

Now combine all these results:

\[ a^2 - 3a - 5a + 15 \]

Combine the like terms \(-3a\) and \(-5a\):

\[ a^2 - 8a + 15 \]

Thus, the expanded form of \((a - 5)(a - 3)\) is:

\[ a^2 - 8a + 15 \]