Writing as a simplified polynomial in standard form, what is the result when (x+8)^2 is subtracted from 2

Answer 1

To simplify this expression, we will first expand (x+8)^2 using the formula (a+b)^2 = a^2 + 2ab + b^2.

(x+8)^2 = (x+8)(x+8) = x^2 + 2(8)(x) + 8^2 = x^2 + 16x + 64

Now, we can subtract (x+8)^2 from 2:

2 - (x^2 + 16x + 64) = 2 - x^2 - 16x - 64 = -x^2 - 16x - 62

Therefore, the result when (x+8)^2 is subtracted from 2 is -x^2 - 16x - 62.