Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x^3 

 3 less than twice x

is 2x-3

2 more than the quantity 3 times x?3  

3x^3 + 2

Just take product of these two expressions

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

6x^4 +4x -9x^3 -6

Answer

I'm assuming that these are two separate problems right?

3 less than twice x

2 more than the quantity 3 times x

To do these kinds of problems you need to remember the order of operations. we don't have any parenthesis or exponents so let's start with multiplication. In the first problem, 3 less than twice x the multiplication is the twice x part. So what is twice x? well that's just 2x so rewrite it as three less than 2x. And the "three less than" implies subtraction but it's kinda reversed. we say "three less than 2x" but we write 2x-3. If you have a hard time remembering this just think of an example you know like "two less than five" which is three so "two less than five" translates to 5-2=3. I'll let you do the second one on your own, just do exactly the same thing as in the first problem.