Question

Elimine os parênteses e reduza os termos semelhantes:?

A] (3X³ + 5X² + X - 3) + (X³ - 3X² + 2X + 4) =
B] ( 4X³ - 4X² + 2X + 1) - (2X³ - 3X² +X + 2) =
C] ( -X² + 2XY + Y² - 2) + (X² - 2XY + Y² + 2) =
D] (- X² - 2XY - Y² - 1) - (- X² - 2XY + Y² + 1) =

Answer 1

- Elimine os parênteses;
- Agrupe os termos semelhantes e faça a soma.


$A)~~ (3x^3+5x^2+x-3)+(x^3-3x^2+2x+4)\to \\\\ 3x^3+5x^2+x-3+x^3-3x^2+2x+4\to \\\\ 3x^3+x^3+5x^2-3x^2+x+2x-3+4\to \\\\ \boxed{4x^3+2x^2+3x+1}$




$B)~~(4x^3-4x^2+2x+1)-(2x^3-3x^2+x+2)\to \\\\ 4x^3-4x^2+2x+1-2x^3+3x^2-x-2\to \\\\ 4x^3-2x^3 -4x^2+3x^2+2x-x+1-2\to \\\\ \boxed{2x^3-x^2+x-1}$




$C)~~(-x^2+2xy+y^2-2)+(x^2-2xy+y^2+2)\to \\\\-\not x^2+\not2xy+y^2-\not2+\not x^2-\not2xy+y^2+\not2\to \\\\ y^2+y^2\to \\\\ \boxed{2y^2}$




$D)~~(-x^2-2xy-y^2-1)-(-x^2-2xy+y^2+1)\to \\\\ -x^2-2xy-y^2-1+x^2+2xy-y^2-1\to \\\\ -\not x^2+\not x^2-\not 2xy+\not 2xy-y^2-y^2-1-1\to \\\\ \boxed{-2y^2-2}$

Answer 2

A]
= (3X³ + 5X² + X - 3) + (X³ - 3X² + 2X + 4)  
= 3x³ + x³ + 5x² - 3x² + x + 2x - 3 + 4
= 4x³ + 2x² + 3x + 1

B]
= ( 4X³ - 4X² + 2X + 1) - (2X³ - 3X² +X + 2)  
= 4x³ - 4x² + 2x + 1 - 2x³ + 3x² - x - 2
= 2x³ - x² + x - 1

C]
= ( - X² + 2xy + y² - 2) + (x² - 2xy + y² + 2)  
= - x² + x² + 2xy - 2xy + y² + y² - 2 + 2
= 2y²

D]
= (- X² - 2XY - Y² - 1) - (- X² - 2XY + Y² + 1)  
= - x² - 2xy - y² - 1 + x² + 2xy - y² - 1
= - x² + x² - 2xy + 2xy - y² - y² - 1 - 1
= - 2y² - 2