Question

11) the difference between the product of 4 and a

number and the square of the number

Answer 1

`= 4x-x^2\\\\`

Explanation:

Let the number be x;

The product of 4 and the number will be;

`= 4 * x\\\\= 4x`

The the square of the number is given as;

`= x^2\\`

Taking the difference of both expressions above;

`= 4x-x^2\\\\`

Factor out the common term:

`= x(4-x)\\\\`

Hence the difference between the product of 4 and a number and the square of the number is
`= 4x-x^2\\\\`