Question

xpand −7/6(3g+2)
.(1 point)

Answer 1

To expand the expression \(-\frac{7}{6}(3g + 2)\), we distribute \(-\frac{7}{6}\) to both terms inside the parentheses.

1. Distribute \(-\frac{7}{6}\) to \(3g\):
\[
-\frac{7}{6} \times 3g = -\frac{21}{6}g = -\frac{7}{2}g
\]

2. Distribute \(-\frac{7}{6}\) to \(2\):
\[
-\frac{7}{6} \times 2 = -\frac{14}{6} = -\frac{7}{3}
\]

Now, combine the results:
\[
-\frac{7}{2}g - \frac{7}{3}
\]

So, the expanded expression is:
\[
-\frac{7}{2}g - \frac{7}{3}
\]