Question

Elimina paréntesis y reduce términos semejantes:
1) (a + b) + (a – b)
2) (x + y) – (x – y)
3) 2a - (2a - 3b) – b
4) 4 – (2a + 3) + (4a + 5) – (7 – 3a)

5) 12 + (-5x + 1) – (-2x + 7) + (-3x) – (-6)
6) (-2x 2 + 3y – 5) + (-8x 2 – 4y + 7) – (-9x 2 + 6y – 3)
7) 3x + 2y - [x – (x – y)]
8) 2m – 3n - [-2m + n – (m – n)]
9) –(a + b – c) – (-a – b – c) + (a – b + c)
10) [-(x 2 – y 2 ) + 2x 2 – 3y 2 – (x 2 – 2x 2 – 3y 2 )]

Answer 1

1) = a+b+a-b = a+a+b-b = 2a

2) = x+y-x+y = x-x+y+y = 2y

3) = 2a-2a+3b-b = 2b

4) = 4-2a-3+4a+5-7+3a = 4a+3a-2a+4+5-3-7 = 5a-1

5) = 12-5x+7+2x-7-3x+6= 2x-5x-3x+12+7+6-7= -6x+18

6) = 2x^2+3y-5-8x^2-4y+7+9x^2-6y+3 = 2x^2+9x^2-8x^2+3y-4y-6y+7+3-5 = 3x^2-7y+5

7) = 3x+2y-x+x-y = 3x+x-x+2y-y = 3x+y

8) = 2m-3n+2m-n+m-n = 2m+2m+m-3n-n-n = 5m-5n

9) = -a-b+c+a+b+c+a-b+c = a+a-a+b-b-b+c+c+c = a-b+3c

10) = -x^2+y^2+2x^2-3y^2-x^2+2x^2+3y^2 = 2x^2+2x^2-x^2-x^2+y^2+3y^2-3y^2 = 2x^2+y^2