Question

Written as a simplified polynomial in standard form, what is the result when
(2x + 2)2 is subtracted from 1?

Answer 1

Answer:

$1-(2x+2)^2=-4x^2-8x-3$

Step-by-step explanation:

Polynomials

Simplify the result of:

$1-(2x+2)^2$

Expanding the square of the binomial:

$1-(2x+2)^2=1-[(2x)^2+2(2x)2+2^2]$

Operating:

$1-(2x+2)^2=1-(4x^2+8x+4)$

$1-(2x+2)^2=1-4x^2-8x-4$

Collecting like terms:

$\boxed{1-(2x+2)^2=-4x^2-8x-3}$