Factor 21x/2 + 3x/2 z

Answer 1

To factor the expression \( \frac{21x}{2} + \frac{3xz}{2} \), we can follow these steps:

1. Factor out the common term: Both terms have a common factor of \( \frac{3x}{2} \).

2. Rewrite the expression: \[ \frac{21x}{2} + \frac{3xz}{2} = \frac{3x}{2} \cdot 7 + \frac{3x}{2} \cdot z \]

3. Factor out \( \frac{3x}{2} \): \[ = \frac{3x}{2} (7 + z) \]

So the factored form of the expression \( \frac{21x}{2} + \frac{3xz}{2} \) is:

\[ \frac{3x}{2} (7 + z) \]