Question

Explain the difference between six times the sum of x and y. And the sum of six times x and y.

Answer 1

Algebraic expressions

We want to express mathematically the following expressions:

1. six times the sum of x and y

2. the sum of six times x and y

1

Since the sum of x and y is expressed by

x + y

then six times it is expressed by their multiplication by 6:

6 · (x + y)

2

Since six times x is expressed by the multiplication

6x

and six times y is expressed by the multiplication

6y

then the sum of them is expressed by

6x + 6y