Question

Hey guys, how would i write this? Thank youuuu

Answer 1

(x - 4)^2 - 11.

Explanation:

x^2 - 8x + 5

Note that x^2 - 8x = (x - 4)^2 - 16 so we have:

(x - 4)^2 - 16 + 5

= (x - 4)^2 - 11.

To get (x - 4)^2 - 16 I used the identity:

x^2 + ax = ( x + a/2)^2 - a^2/4 with a = -8.

Answer 2

(x-4)² - 11

Explanation:

You find half of 8 which is 4 and half of x² which is x. this forms (x - 4).

However this would expand as

x²-8x+16 which isn't the expression. So to make it 5, you have to take away 11 leaving you with

(x-4)²-11