Question

Sendo A = (x + 2)², B = (x + 3).(x - 3) e C = (x – 1)², determine o polinômio que representa a soma A + B + C.

A- 3x² – 4x + 8.
B- 3x² + 2x – 4.
C- 5x² + 3x – 2.
D- 12x² + 2x – 5.
E- 7x² + 5x + 4.

Answer 1

Olá!!!

Resposta...

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Vamos lá:

$=\left(x+2\right)^2+\left(x+3\right)\left(x-3\right)+\left(x-1\right)^2$

$=x^2+4x+4+\left(x+3\right)\left(x-3\right)+\left(x-1\right)^2$

$=x^2+4x+4+\left(x+3\right)\left(x-3\right)+x^2-2x+1$

$=x^2+4x+4+x^2-9+x^2-2x+1$

$\bf =3x^2+2x-4$