Chapter 4.1, Problem 25PPS

To determine

To evaluate: $5\left(t-6\right)$ using distributive property

Answer to Problem 25PPS

  $5t-30$

Explanation of Solution

Given information:

  $5\left(t-6\right)$

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-

  $5\left(t-6\right)=5\left(t\right)-5\left(6\right)$

This can further be simplified as-

  $5\left(t\right)-5\left(6\right)=5t-30$