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 distribute the -7/6 to each term inside the parentheses:

-7/6 * 3g - 7/6 * 2

Simplifying each term, we get:

-21g/6 - 14/6

Now, let's simplify further by finding a common denominator for the fractions:

-21g/6 can be simplified as -7g/2.

-14/6 can be simplified as -7/3.

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

Answer 2

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

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

First, distribute -7/6 to both terms inside the parentheses, which gives:

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

Next, simplify each term:

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

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

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

Finally, combine the terms:

=(-21g - 14) / 6

= -21g/6 - 14/6

Simplifying further, we have:

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

Answer 3

[AI-generated answer — Explain Bot]

To expand the expression −7/6(3g+2), we will use the distributive property. This property states that when a number or expression is multiplied by a sum or difference of terms, it can be distributed or multiplied to each term separately.

Here's how we can apply the distributive property to the given expression:

−7/6(3g+2) = (−7/6) * 3g + (−7/6) * 2

First, let's multiply −7/6 with 3g:

(−7/6) * 3g = (−7 * 3)/(6 * 1) * g = −21g/6 = −7g/2

Next, let's multiply −7/6 with 2:

(−7/6) * 2 = (−7 * 2)/(6 * 1) = −14/6 = −7/3

Now, we can rewrite the expression with the expanded terms:

−7/6(3g+2) = −7g/2 − 7/3

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