Final Answer:
The product of the binomial (3x+2) with the binomial (2x-1) can be written as 6x^2+x-2. None of the given options is answer.
Step-by-step explanation:
To find the product of two binomials, we can use the distributive property. The distributive property states that for any expressions A, B, and C, the following equation holds:
A(B + C) = AB + AC
Using the distributive property, we can expand the product of the two binomials (3x+2) and (2x-1) as follows:
(3x+2)(2x-1) = 3x(2x-1) + 2(2x-1)
Distributing the first term, we get:
6x^2 - 3x + 2(2x-1)
Distributing the second term, we get:
6x^2 - 3x + 4x - 2
Combining the like terms, we get the simplified form of the product:
6x^2 + x - 2
Therefore, the product of the binomial (3x+2) with the binomial (2x-1) can be written as 6x^2+x-2. None of the given options is answer.