The phrase "The product of 3 and a number squared, minus the product of four and that same number, plus 5" can be broken down as follows:
- "The product of 3 and a number squared" translates to \(3x^2\).
- "minus the product of four and that same number" translates to \(-4x\).
- "plus 5" is simply \(+5\).
Combining these parts, we get the expression:
\[ 3x^2 - 4x + 5 \]
So, the expression that is equivalent to the given phrase is:
3x² - 4x + 5.