Question

Efetue as operações com polinômios abaixo:

a) (a²x+2x-3a²)+(-a²x-5x+2a²)=
b) (-2xy²-x+y) - (-2x+2y-4xy²-y²)=

Simplifique o polinômio abaixo:
- { x-2y+y- [3x+5xy+6y-(x-y)+8]}

Answer 1

$a) (a^2x+2x-3a^2)+(-a^2x-5x+2a^2)\to \\\\ a^2x+2x-3a^2-a^2x-5x+2a^2\to \\\\ -3x-1a^2$




$b) (-2xy^2-x+y) - (-2x+2y-4xy^2-y^2)\to \\\\ -2xy^2-x+y +2x-2y+4xy^2+y^2\to \\\\ 2xy^2+x-y+y^2$




- { x-2y+y- [3x+5xy+6y-(x-y)+8] } ⇒ 
- { x-2y+y- [3x+5xy+6y-x+y+8] } ⇒ 
- { x-2y+y- [2x+5xy+7y+8] } ⇒ 
- { x-2y+y- 2x-5xy-7y-8 } ⇒ 
- { -8y-x-5xy-8 } ⇒ 
R.: 8y+x+5xy+8