Chapter 4.1, Problem 24PPS

To determine

To evaluate: $\left(b+4\right)12$ using distributive property

Answer to Problem 24PPS

  $12b+48$

Explanation of Solution

Given information:

  $\left(b+4\right)12$

Concept Used:

Distributive Property: The product sum or difference of two or more numbers inside a parentheses with another number outside the parentheses is equivalent to the sum or difference of product of number outside the parentheses with each number inside the parenthesis. i.e.-

  $a\left(b+c-d\right)=ab+ac-ad$

Calculation:

We can write the given expression in distributive form as-

  $\left(b+4\right)12=\left(b\right)12+\left(4\right)12$

This can further be simplified as-

  $\left(b\right)12+\left(4\right)12=12b+48$