Chapter 1.4, Problem 16PPS

To determine

To Simplify: The expression $\left(3+8\right)15$

Answer to Problem 16PPS

  $\left(3+8\right)15=165$

Explanation of Solution

Given information:

The expression $\left(3+8\right)15$

Concept and Formula Used:

Addition and subtraction of like terms.

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

Calculation:

The given expression is

  $\left(3+8\right)15$

Using the distributive property

  $\begin{array}{l}a\left(b+c\right)=ab+ac\\ \left(3+8\right)15=3\cdot 15+8\cdot 15\\ \left(3+8\right)15=45+120\text{ (multiply)}\\ \left(3+8\right)15=165\text{ (simplify)}\end{array}$

Conclusion:

  $\left(3+8\right)15=165$