Multiply the polynomial (b+8)(3v-6)to simplify

Answer 1

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:

1. Distribute \( b \):

   • \( b \cdot 3v = 3bv \)
   • \( b \cdot (-6) = -6b \)

2. 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.