Chapter 4.5, Problem 8OE

To determine

To multiply the expression

  $a\left(b+2c\right)$

Answer to Problem 8OE

  $a\left(b+2c\right)=ab+2ac$

Explanation of Solution

Given:

  $a\left(b+2c\right)$

Concept Used:

• Distributive property: $a\left(b\pm c\right)=ab\pm ac$

Calculation:

In order to simplify the expression

  $a\left(b+2c\right)$

Use distributive property as

  $\begin{array}{c}a\left(b+2c\right)=a\cdot b+a\cdot 2c\\ =ab+2ac\end{array}$

Thus, simplified form of given expression is

  $a\left(b+2c\right)=ab+2ac$