Sure, let's expand the given expression step-by-step:
Given:
[tex]\[ 13 + 3c(-y - 3z) \][/tex]
1. First, distribute the [tex]\(3c\)[/tex] inside the parentheses:
[tex]\[ 3c \times (-y) = -3cy \][/tex]
[tex]\[ 3c \times (-3z) = -9cz \][/tex]
2. Now, substitute these back into the expression:
[tex]\[ 13 + (-3cy) + (-9cz) \][/tex]
3. Simplify the expression by combining all the terms:
[tex]\[ 13 - 3cy - 9cz \][/tex]
So, the expanded form of the expression is:
[tex]\[ -3cy - 9cz + 13 \][/tex]
