The time louis spends commuting to the gym can be represented by two expressions:

time to gym: 2x − 6y

time from gym: 6x − 10y

which expression represents the total time louis spends commuting to and from the gym each day?

The expression that represents the total time Louis spends commuting to and from the gym each day is 8(x-2y)

Step-by-step explanation:

Given that the time Louis spends commuting to the gym can be represented by two expressions:

Time to gym:

Time from gym:

To find the expression that represents the total time Louis spends commuting to and from the gym each day :

The total time Louis spends commuting to and from the gym each day is equal to the sum of the Time to gym  and Time from gym

Total time Louis spends commuting to and from the gym each day=2x-6y+6x-10y

=8x-16y

=8(x-2y)

Therefore  Total time Louis spends commuting to and from the gym each day is 8(x-2y)

The expression that represents the total time Louis spends commuting to and from the gym each day is 8(x-2y)

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b