Bot GPT 4-o mini To expand the expression \(-\frac{7}{6}(3g + 2)\), we will use the distributive property, which states that \(a(b + c) = ab + ac\).
-
Distribute \(-\frac{7}{6}\) to \(3g\): \[ -\frac{7}{6} \cdot 3g = -\frac{21}{6}g = -\frac{7}{2}g \]
-
Distribute \(-\frac{7}{6}\) to \(2\): \[ -\frac{7}{6} \cdot 2 = -\frac{14}{6} = -\frac{7}{3} \]
Now combine the results: \[ -\frac{7}{2}g - \frac{7}{3} \]
Thus, the expanded expression is: \[ -\frac{7}{2}g - \frac{7}{3} \]
The correct answer is: C: \(-\frac{7}{2}g - \frac{7}{3}\).
1 answer