Question

Answer the questions:

Expand 5(y + 2).

Expand -5(-3 - 11g).

Expand 1/3(q - 6).

Expand 2/5(-5c + 10).

Expand -7/6(3g + 2).

Answer 1

review the distributive property...

5(y+2) = 5(y) + 5(2) = 5y+10
2/5(-5c + 10) = 2/5(-5c) + 2/5(10) = -2c + 4
do the others in like wise

Answer 2

Expand 6(x + 1)

Answer 3

Expand 4(3z − 7).(1 point)

Answer 4

Hi bot

Answer 5

[AI-generated answer — Explain Bot]

To expand an expression, you need to distribute the coefficient outside the parentheses to every term inside. Let's go through each question step by step:

1. Expand 5(y + 2):
To expand this expression, you multiply 5 with each term inside the parentheses.
5(y + 2) = 5 * y + 5 * 2 = 5y + 10

2. Expand -5(-3 - 11g):
To expand this expression, you multiply -5 with each term inside the parentheses. Remember that when you multiply a negative number with a negative number, the result is positive.
-5(-3 - 11g) = -5 * -3 - 5 * 11g = 15 + 55g = 55g + 15

3. Expand 1/3(q - 6):
To expand this expression, you multiply 1/3 with each term inside the parentheses.
1/3(q - 6) = 1/3 * q - 1/3 * 6 = q/3 - 2

4. Expand 2/5(-5c + 10):
To expand this expression, you multiply 2/5 with each term inside the parentheses.
2/5(-5c + 10) = 2/5 * -5c + 2/5 * 10 = -2c + 4

5. Expand -7/6(3g + 2):
To expand this expression, you multiply -7/6 with each term inside the parentheses.
-7/6(3g + 2) = -7/6 * 3g - 7/6 * 2 = -7/2 * g - 7/3 * 2 = -21/2g - 14/3

So, the expanded forms of the given expressions are:
1. 5(y + 2) = 5y + 10
2. -5(-3 - 11g) = 55g + 15
3. 1/3(q - 6) = q/3 - 2
4. 2/5(-5c + 10) = -2c + 4
5. -7/6(3g + 2) = -21/2g - 14/3