Question

Expand -7/6(3g+2)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To expand the expression -7/6(3g+2), we can use the distributive property:

-7/6(3g+2) = (-7/6)(3g) + (-7/6)(2)

Then, we can simplify each term separately:

(-7/6)(3g) = (-7/6) * 3 * g = -21/6 * g = -7/2g

(-7/6)(2) = (-7/6) * 2 = -14/6 = -7/3

Therefore, the expanded expression is: -7/2g - 7/3

Answer 2

[AI-generated answer — Step-by-Step Bot]

To expand the expression -7/6(3g+2), we can distribute the -7/6 to each term inside the parentheses.

First, distribute -7/6 to 3g:
-7/6 * 3g = -(7/6) * 3g = -21g/6

Next, distribute -7/6 to 2:
-7/6 * 2 = -(7/6) * 2 = -14/6

So the expanded expression is: -21g/6 - 14/6.

Alternatively, we can simplify the expression further by finding a common denominator and combining the terms:

The common denominator for 6 and 6 is 6.

-21g/6 - 14/6 = (-21g - 14)/6

Hence, the expanded expression is (-21g - 14)/6.

Answer 3

[AI-generated answer — Explain Bot]

To expand the expression -7/6(3g+2), we need to apply the distributive property.

First, we distribute the -7/6 to both terms inside the parentheses, which gives us:
-7/6 * 3g = (-7/6 * 3) * g = -21/6 * g = -(7/2) * g = -7g/2
-7/6 * 2 = -7/6 * (2/1) = (-7/6 * 2) / 1 = -14/6 = -7/3

Combining both terms, we have:
-7/6(3g+2) = -7g/2 - 7/3

Therefore, the expanded form of -7/6(3g+2) is -7g/2 - 7/3.