Question

Rewrite as the opposite of the square of a binomial: −x^2+8x−16

Answer 1

e

Explanation:

you do math

Answer 2

`- (x - 4 {)}^(2)`

Explanation:

The given expresion is

`- {x}^(2) + 8x - 16`

Factor -1;

`- ( {x}^(2) - 8x + 16)`

Split the middle term with -4x-4x

`- ( {x}^(2) - 4x - 4x + 16)`

Factor by grouping within the parenthesis:

`- ( x({x} - 4)- 4(x - 4) )`

Factor further:

`- (x - 4)(x -4 )`

`- (x - 4 {)}^(2)`

This the opposite of the square of (x-4)