Multiply Binomials: Expanding (-13-z)(-2-x) Step by Step

To solve the expression $(-13-z)(-2-x)$, we will expand it using the distributive property (FOIL):

Step 1: Multiply the first terms:
$(-13) \cdot (-2) = 26$

Step 2: Multiply the outer terms:
$(-13) \cdot (-x) = 13x$

Step 3: Multiply the inner terms:
$(-z) \cdot (-2) = 2z$

Step 4: Multiply the last terms:
$(-z) \cdot (-x) = zx$

Now, combine all these results:
$26 + 13x + 2z + zx$

Therefore, the expanded form is $zx + 13x + 2z + 26$.

The correct answer matches choice (1): $zx + 13x + 2z + 26$.