Question

simplifigue as expressões
a) (x+1)^2 + (x+2)^2

b)(2x+1)^2 + (3x + 1)^2

c) 5x - (2x + 3)^2

d) ( x + 5)^2 - x (x + 3)​

Answer 1

Resposta:

a) (x+1)^2 + (x+2)^2

${x}^{2} + 2x + 1 + {x}^{2} + 4x + 4 \\ 2 {x}^{2} + 6x + 5$

b)(2x+1)^2 + (3x + 1)^2

$4 {x}^{2} + 4x + 1 + 9 {x}^{2} + 6x + 1 \\ 13 {x}^{2} + 10x + 2$

c) 5x - (2x + 3)^2

$5x - (4 {x}^{2} + 12x + 9) \\ 5x - 4 {x}^{2} - 12x - 9 \\ - 4 {x}^{2} - 7x - 9 \times ( - 1) \\ 4 {x}^{2} + 7x + 9$

d) ( x + 5)^2 - x (x + 3)

${x}^{2} + 10x + 25 - {x}^{2} + 3x \\ 13x + 25$