To multiply the polynomials \( (b + 8)(3v - 6) \), we can use the distributive property (also known as the FOIL method for binomials).
Here’s how you do it step by step:
-
Distribute \( b \):
- \( b \cdot 3v = 3bv \)
- \( b \cdot (-6) = -6b \)
-
Distribute \( 8 \):
- \( 8 \cdot 3v = 24v \)
- \( 8 \cdot (-6) = -48 \)
Now we combine all the terms:
\[ 3bv - 6b + 24v - 48 \]
Thus, the simplified expression for \( (b + 8)(3v - 6) \) is:
\[ 3bv + 24v - 6b - 48 \]
This is the final result.