Question

An Accountant using the expressions (4a+3b-6c) and (5a+c) to calculate the total compensation for employees in two different departments of a business.

What is the sum of the two expressions?​

Answer 1

The sum of two expressions will be:

• 
  `\left(4a+3b-6c\right)+\left(5a+c\right)=9a+3b-5c`

Explanation:

Given the expressions

• 
  `(4a+3b-6c)`

• 
  `(5a+c)`

Let us calculate the sum of two expressions

`\left(4a+3b-6c\right)+\left(5a+c\right)`

Remove the parentheses: (a)=a

`=4a+3b-6c+5a+c`

Group like terms

`=4a+5a+3b-6c+c`

Add similar elements: 4a+5a=9a

`=9a+3b-6c+c`

Add similar elements: -6c+c=-5c

`=9a+3b-5c`

Thus, the sum of two expressions will be:

• 
  `\left(4a+3b-6c\right)+\left(5a+c\right)=9a+3b-5c`