Answer:
[tex]= 4x-x^2\\\\[/tex]
Step-by-step explanation:
Let the number be x;
The product of 4 and the number will be;
[tex]= 4 * x\\\\= 4x[/tex]
The the square of the number is given as;
[tex]= x^2\\[/tex]
Taking the difference of both expressions above;
[tex]= 4x-x^2\\\\[/tex]
Factor out the common term:
[tex]= x(4-x)\\\\[/tex]
Hence the difference between the product of 4 and a number and the square of the number is [tex]= 4x-x^2\\\\[/tex]
