Question

multiply.
-(3b + 8)(3b + 4)
simplify your answer.

Explanation:

Step1: Multiply (3b + 8)(3b + 4)

Using the distributive property (FOIL method):
First: \(3b \times 3b = 9b^2\)
Outer: \(3b \times 4 = 12b\)
Inner: \(8 \times 3b = 24b\)
Last: \(8 \times 4 = 32\)
Combine terms: \(9b^2 + 12b + 24b + 32 = 9b^2 + 36b + 32\)

Step2: Apply the negative sign

Multiply the entire expression by \(-1\):
\(-1 \times (9b^2 + 36b + 32) = -9b^2 - 36b - 32\)

Answer:

\(-9b^2 - 36b - 32\)