Question

simplifique: (2√3-1)² - (4√3+2) - (7√3+1)(7√3-1)

Answer 1

(2√3-1)² - (4√3+2) - (7√3+1)(7√3-1) = x

a = (22√3-1)^2
b = (4√3+2)^2
c = (7√3+1)(7√3-1)

x = a - b - c


a = (2√3)^2 - 2.2√3.1 + 1^2
a = 4.3 - 4.√3 + 1
a = 12 - 4√3 + 1
a = 13 - 4√3

b = (4√3+2)^2
b = (4√3)^2 + 2.4√3.2 + 2^2
b = 4.4.3 + 16√3 + 4
b = 48 + 4 + 16√3
b = 52 + 16√3

c = (7√3+1)(7√3-1)
c = (7√3)^2 - 1^2
c = 7.7.3 - 1
c = 147 - 1
c = 146

x = a - b - c
x = (13 - 4√3) - (52 + 16√3) - 146
x = 13 - 4√3 - 52 - 16√3 - 146
x = -20√3 - 185