What expression represents the product of 3 less than twice x and 2 more than
the quantity 3 times x?

the product of 3 less than twice x and 2 more than the quantity 3 times x.

Notice that it is in the form of

The product of        and       .


In the first blank we have "3 less than twice x"
So we start with "twice x", which is 2x, and then we
make it 3 less by subtracting 3 from it. So we
have 2x - 3 to go in the first blank.

In the second blank we have  
"2 more than the quantity 3 times x"
So we start with the quantity "3 times x" or 3x, and
then we make it 2 more by adding 2 onto it. So we
have 3x + 2 in the second blank.

Fill in the blanks:

The product of 2x - 3 and 3x + 2.

To get the product of these, we multiply them.
Since they have more than one term we must first 
enclose them in parentheses and then write them 
side by side:

(2x - 3)(3x + 2)

That's the answer.

Edwin