What operations do "the difference between" and "the product of" represent?
4x-x^2
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The first key phrase is "the difference between ... and ...". This indicates that we should subtract two things.
... - ...The two terms that are involved in the subtraction are: "the product of 4 and a number" and "the square of a number".
4 * a number-a number^2
The phrase "a number" is indicating an arbitrary number or a variable. If we call this number x, we can complete our expression.
the difference between the product of 4 and a number and the square of a number
4 x - x^2
Note that this is only one of multiple ways to algebraically express the given verbal expression.