Chapter 4.1, Problem 53PPS

To determine

To evaluate: $\left(u-w\right)\left(8\right)$ using distributive property

Answer to Problem 53PPS

  $8u-8w$

Explanation of Solution

Given information:

  $\left(u-w\right)\left(8\right)$

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-

  $\left(u-w\right)\left(8\right)=u\left(8\right)-w\left(8\right)=8u-8w$