breannasalinas41 breannasalinas41
  • 21-01-2021
  • Mathematics
contestada

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

Respuesta :

elcharly64
elcharly64 elcharly64
  • 21-01-2021

Answer:

[tex]1-(2x+2)^2=-4x^2-8x-3[/tex]

Step-by-step explanation:

Polynomials

Simplify the result of:

[tex]1-(2x+2)^2[/tex]

Expanding the square of the binomial:

[tex]1-(2x+2)^2=1-[(2x)^2+2(2x)2+2^2][/tex]

Operating:

[tex]1-(2x+2)^2=1-(4x^2+8x+4)[/tex]

[tex]1-(2x+2)^2=1-4x^2-8x-4[/tex]

Collecting like terms:

[tex]\boxed{1-(2x+2)^2=-4x^2-8x-3}[/tex]

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