Question

efectuați calculele
a)(x+√2)²
b)(√3-x)²
c)(2√2x-1)²
d) (2√3-√3x)²
e)(√3x-2)²
f) (2√3-3)²​

Answer 1

Aplici regulile de calcul prescurtat (simbolul ^2 inseamna la puterea a 2-a)

(a+b)^2 = a^2 + 2ab + b^2

(a-b)^2 = a^2 - 2ab + b^2

a) x^2 + 2V2x + (V2)^2 = x^2 + 2V2x + 2

b) (V3)^2 - 2V3x + x^2 = 3 - 2V3x + x^2

c) (2V2x)^2 - 4V2x + 1^2 = 8x^2 - 4V2x + 1

d) (2V3)^2 - 4V9x + (V3x)^2 = 12 - 12x + 3x^2

e) (V3x)^2 - 4V3x + 2^2 = 3x^2 - 4V3x + 4

f) (2V3)^2 - 4V3 + 3^2 = 12 - 4V3 + 9 = 21 - 4V3