Chapter R.16, Problem 1DE

Multiply.

$3\left(c+1\right)$

To determine

To calculate: The simplified form of the expression $3\left(c+1\right)$.

Answer to Problem 1DE

Solution:

The simplified form of the expression $3\left(c+1\right)$ is $\underset{\_}{3c+3}$.

Explanation of Solution

Given information:

The provided expression is $3\left(c+1\right)$.

Formula used:

For numbers a, b, and c distributive law of multiplication is as below:

$a\left(b+c\right)=a\cdot b+a\cdot c$

Calculation:

Consider the expression as below:

$3\left(c+1\right)$

According to the distributive law the product of a number and a sum can be expressed as sum of two products, that is for numbers a, b, and c distributive law is as below

$a\left(b+c\right)=a\cdot b+a\cdot c$

Use the distributive law to multiply the expression and simplify as below:

$\begin{array}{c}3\left(c+1\right)=3\cdot c+3\cdot 1\\ =3c+3\end{array}$

Hence, the simplified form of the expression $3\left(c+1\right)$ is $3c+3$.