Question

Simplifique as expressões:

a) F = 3(n + 5) - 5(n + 2) + 7

b) F = 3(n elevado a 2 - 5n + 1) -2(n elevado a 2 + n + 1)

c) G =2(x elevado a 2 + 2x + 5) - 4(x elevado a 2 - 4)

d) M = 3(x - 5) +3(2x + 4) - (x - 8)

Answer 1

a)
F = 3(n + 5) - 5(n + 2) + 7
F = 3n + 15 - 5n - 10 + 7
F = 3n - 5n + 15 - 10 + 7
F = - 2n + 15 - 3
F = - 2n + 12

************************************

b)
F = 3(n elevado a 2 - 5n + 1) -2(n elevado a 2 + n + 1)
F = 3.(n² - 5n + 1) - 2.(n² + n + 1)
F = 3n² - 15n + 3 - 2n² - 2n - 2
F = 3n² - 2n² - 15n - 2n + 3 - 2
F = n² - 17n + 1

***********************************************

c)
G = 2(x elevado a 2 + 2x + 5) - 4(x elevado a 2 - 4)
G = 2.(x² + 2x + 5) - 4.(x² - 4)
G = 2x² + 4x + 10 - 4x² + 16
G = 2x² - 4x² + 4x + 10 + 16
G = - 2x² + 4x + 26

***********************************************

d)

M = 3.(x - 5) + 3.(2x + 4) - (x - 8)
M = 3x - 15 + 6x + 12 - x + 8
M = 3x + 6x - x - 15 + 12 + 8
M = 9x - x - 15 + 20
M = 8x + 5