Respuestas
a) (5a + 8b - 5c) + (11a - b + c) - (a - 3b + 5c)
= 16a + 7b - 4c - a + 3b - 5c
= 15a + 10b - 9c
b) (2x - 8y + 5z) + (5x - y + 9z) - (4x - 2y - 6z)
= 7x - 9y + 14z - 4x + 2y + 6z
= 3x - 7y + 20z
c) (4a - 10b - 5c) - [(12a + 3b - 4c) + (6a - 8b + 5c)]
= 4a - 10b - 5c - [18a - 5b + c]
= 4a - 10b - 5c - 18a + 5b - c
= -14a - 5b - 6c
d) (2v - 3u + 5w) + (v + 5u - 7w) - (5v - 7u + 11w)
= 3v + 2u - 2w - 5v + 7u - 11w
= -2v + 9u - 13w
e) (-v - 3u + 17w) + (7v + 2u - 5w) - (3v - u - 9w)
= 6v - u + 12w - 3v + u + 9w
= 3v + 21w
f) (4a - 7b + 2c) - [(3a/5 - 7b/2 + 3c/7) + (2a/5 + 3b/2 + 4c/7)]
= 4a - 7b + 2c - [5a/5 - 4b/2 + 7c/7]
= 4a - 7b + 2c - [a - 2b + c]
= 4a - 7b + 2c - a + 2b - c
= 3a - 5b + c
g) A = (2x³ - 5x² + 7x - 8) + (12x³ - x + 6x² - 1)
A = 14x³ + x² + 6x - 9
B = (-3x³ + x² - 20x - 3) + (2x - 5x² + x³ - 10)
B = -2x³ - 4x² - 18x - 13
Luego: A - B
= 14x³ + x² + 6x - 9 - (-2x³ - 4x² - 18x - 13)
= 14x³ + x² + 6x - 9 + 2x³ + 4x² + 18x + 13
= 16x³ + 5x² + 24x + 4