Question
Find the product and simplify. \( (-3 a+1)(3 a+2) \)
Ask by Salinas Gough. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The product is \( -9a^2 - 3a + 2 \).
Solution
Calculate or simplify the expression \( (-3a+1)(3a+2) \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(-3a+1\right)\left(3a+2\right)\)
- step1: Apply the distributive property:
\(-3a\times 3a-3a\times 2+1\times 3a+1\times 2\)
- step2: Multiply the terms:
\(-9a^{2}-6a+3a+2\)
- step3: Add the terms:
\(-9a^{2}-3a+2\)
The product of \( (-3a+1)(3a+2) \) is \( -9a^2 - 3a + 2 \).
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Beyond the Answer
To find the product \((-3a + 1)(3a + 2)\), we use the distributive property (also known as the FOIL method for binomials): 1. First terms: \(-3a \cdot 3a = -9a^2\) 2. Outer terms: \(-3a \cdot 2 = -6a\) 3. Inner terms: \(1 \cdot 3a = 3a\) 4. Last terms: \(1 \cdot 2 = 2\) Now we add all these together: \(-9a^2 - 6a + 3a + 2\) Combine the like terms: \(-9a^2 - 3a + 2\) So, the simplified product is: \(-9a^2 - 3a + 2\)
