Question
Show the correct and complete distribution for the problem: (2x + 3) (3x - 1) I don't want it to be solved. The only part I solved is the beginning part with starts of: 2x ⋅ 3. Please solve the rest and don't solve to the end just finish that part. The next part IS NOT =6.
Answers
GPT-4o mini
To distribute the expression \((2x + 3)(3x - 1)\), we will apply the distributive property (also known as the FOIL method for binomials).
Starting with your provided part:
1. \(2x \cdot 3 = 6x\)
Now we continue with the rest of the distribution:
2. \(2x \cdot (-1) = -2x\)
3. \(3 \cdot 3x = 9x\)
4. \(3 \cdot (-1) = -3\)
Putting it all together, the complete distribution of \((2x + 3)(3x - 1)\) is:
\[
6x - 2x + 9x - 3
\]
So the result of the distribution (without combining like terms) is:
\[
6x - 2x + 9x - 3
\]
Starting with your provided part:
1. \(2x \cdot 3 = 6x\)
Now we continue with the rest of the distribution:
2. \(2x \cdot (-1) = -2x\)
3. \(3 \cdot 3x = 9x\)
4. \(3 \cdot (-1) = -3\)
Putting it all together, the complete distribution of \((2x + 3)(3x - 1)\) is:
\[
6x - 2x + 9x - 3
\]
So the result of the distribution (without combining like terms) is:
\[
6x - 2x + 9x - 3
\]