Question

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:

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