Respuesta :

Answer:

1) x/2 + 1
2) x/2 + 1
3) x/2 + 1

Step-by-step explanation:

1) (2x * 1/4) = (2 * 1/4 * x) = (1/2 * x) = (x/2)
(4 * 1/4) = (4/4) = (1)
(x/2) + (1) = (x/2 + 1)

2) (1/6 * 3 * x) = (3/6 * x) = (1/2 * x) = (x/2)
(1/6 * 6) = (6/6) = (1)

(x/2) + (1) = (x/2 + 1)

3) (1/4 * x) = (3/12 * x) = (3x/12)
(3x/12) + (3x/12) = (6x/12) = (1/2 * x) = (x/2)
(9 - 8) = 1
(x/2) + (1) = (x/2 + 1)

The expanded form of the expressions is 2x + 1 and x/2 + 1

Expression and expansion

Given the expression 1/4(2x + 4)

Expand the expression

1/4(2x + 4) = 1/4(2x) + 1/4(4)

1/4(2x + 4) = 2x + 1

For the expression 1/6(3x + 6)

1/6(3x + 6) = 1/6(3x) + 1/6(6)

1/6(3x + 6) = x/2 + 1

For the expression 1/4 x + 9 + 3/12 x - 8

Simplify the expression

1/4 x + 1/4x + 9 - 8

2/4 x  + 1

1/2 x + 1

Learn more on expression and expansion here: https://brainly.com/question/29114