Question

$(x + \frac{x}{2} {)}^{2} + ( - 2 + \frac{x}{2} {)}^{2}$
gente me ajudem, preciso de isso urgente

Answer 1

(x + x/2)² + (-2 + x/2)²
(x² + x² + x²/4) + (4 - 2x +x²/4)
2x² + x²/4 + 4 - 2x + x²/4
2x² + 2x²/4 - 2x + 4
8x²/4 + 2x²/4 - 2x + 4
10x²/4 - 2x + 4
5x²/2 - 2x + 4

=)

Answer 2

Olá, boa tarde! ☺

Prezado amigo (a), com base no enunciado acima podemos compreender que:

$(x + \frac{x}{2} {)}^{2} + ( - 2 + \frac{x}{2} {)}^{2}$

$\frac {(x\times 2+x)}{2}^2\ + ( - 2 + \frac{x}{2} {)}^{2}$

$\frac {3x}{2}^{2} + ( - 2 + \frac{x}{2} {)}^{2}$

$\frac {9x^2}{4}\ + ( - 2 + \frac{x}{2} {)}^{2}$

$\frac {9x^2}{4}\ + (4-2x+ \frac{x^2}{4})$

$\frac {9x^2}{4}\ + 4-2x+ \frac{x^2}{4}$

$4-2x+ \frac {10x^2}{4}$

$4 - 2x+ \dfrac {\not 10x^{2}}{\not {4}}$

$4 - 2x+ \frac {5x^2}{2}$

$-2x+ \frac {5x^2}{2} + 4$

$\boxed {\frac {5x^2}{2} - 2x+4}$