Question

Simplifique a expressão:
(X+1)2+(X+2)2*

a) 2x2 + 6x + 5
b) 2x2 - 6x - 5
c) 2x2 + 6x - 5
d) -2x2 + 6x + 5

Answer 1

$\sf (x + 1)^{2} + (x + 2)^{2}$

$\sf (x + 1)\cdot (x + 1) + (x + 2)\cdot (x + 2)$

$\sf {x}^{2} + x + x + 1 + {x}^{2} + 2x + 2x + 4$

$\sf {x}^{2} + {x}^{2} + x + x + 2x + 2x + 1 + 4$

$\red{\sf {2x}^{2} + 6x + 5}$

$\boxed{\boxed{\sf Letra \: A}}$