Written as a simplified polynomial in standard form, what is the result when (x−4)^2 is subtracted from 4x^2

1 answer

The result of subtracting (x−4)^2 from 4x^2 is:

4x^2 - (x-4)^2

Expanding (x-4)^2:

= 4x^2 - (x^2 - 8x + 16)
= 4x^2 - x^2 + 8x - 16
= 3x^2 + 8x - 16

Therefore, the simplified polynomial in standard form is 3x^2 + 8x - 16.