Question

In the following exercises, translate to an algebraic expression and simplify if possible.

The product of$-13$and the difference of$c$and$d$.

Short answer

The given statement can be translated as$-13\left(c-d\right)$.

Step-by-step solution

Step 1. Given Information.

The given statement is "the product of$-13$and the difference of$c$and$d$".

Step 2. Concept Used.

The phrase "the difference of $a$and $b$" indicates the subtraction operation and can be written as $a-b$.

The phrase "the product of$a$and$b$" can be written as$ab$.

Step 3. Write the given statement using mathematical notations.  

The difference of $c$and $d$can be written as

$c-d$

To write the product of $-13$and the difference of $c$and $d$, multiply $-13$by $c-d$.

$-13\left(c-d\right)$

Step 4. Conclusion.

The given statement can be translated as$-13\left(c-d\right)$.