Chapter 1.1, Problem 58E

To determine

To simplify the below expression using the Distributive Property −

  $8\left(y+3\right)$

Answer to Problem 58E

The simplified expression is $8y+24$ .

Explanation of Solution

Given:

Expression: $8\left(y+3\right)$

Formula Used:

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Calculation:

Given:

Expression: $8\left(y+3\right)$

Solving the above expression using the distributive property, we have:

  $\begin{array}{l}8\left(y+3\right)=\left(8\times y\right)+\left(8\times 3\right)\\ 8\left(y+3\right)=8y+24\end{array}$

Hence, the simplified expression is $8y+24$ .

Conclusion:

Hence, the simplified expression is $8y+24$ .