Question

Written as a simplified polynomial in standard form, what is the result when

(2x + 2)2 is subtracted from 1?

Answer 1

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

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}`