Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 2b^2 - 2b - 24 \)
Solution
1. Expand using the distributive property:
\[
(b-4)(2b+6) = b(2b+6) - 4(2b+6)
\]
2. Multiply each term:
\[
b(2b+6) = 2b^2 + 6b
\]
\[
-4(2b+6) = -8b - 24
\]
3. Combine like terms:
\[
2b^2 + 6b - 8b - 24 = 2b^2 - 2b - 24
\]
The final result is:
\[
2b^2 - 2b - 24
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Extra Insights
To multiply the expression \( (b-4)(2b+6) \), you can use the distributive property, often known as the FOIL method for binomials. Multiply each term in the first binomial by each term in the second binomial: 1. First: \( b \cdot 2b = 2b^2 \) 2. Outside: \( b \cdot 6 = 6b \) 3. Inside: \( -4 \cdot 2b = -8b \) 4. Last: \( -4 \cdot 6 = -24 \) Now, combine these results: \[ 2b^2 + 6b - 8b - 24 = 2b^2 - 2b - 24 \] Thus, the expanded expression is \( 2b^2 - 2b - 24 \).
