Answer:
[tex]4(3+\frac{1}{4}c-\frac{1}{2}d )=12+c-2d[/tex]
Step-by-step explanation:
The given expression is
[tex]4(3+\frac{1}{4}c-\frac{1}{2}d )[/tex]
If we apply the distributive property, we must multiply 4 by each term inside the parenthesis, as follows
[tex]3 \times 4 + \frac{1}{4}c \times 4-\frac{1}{2}d \times 4=12+c-2d[/tex]
Therefore, the equivalent expression is
[tex]4(3+\frac{1}{4}c-\frac{1}{2}d )=12+c-2d[/tex]
