Răspuns:
Explicație pas cu pas:
(a+b)² = a²+2ab+b²
(a-b)² = a²-2ab +b²
a) (√2+1)² = 2+2√2+1 = 3+2√2
b) (3-√5)² = 9-6√5+5 = 14-6√5
c) (2√2+3)² = 8+12√2+9 = 17+2√2
d) (1-2√7)² = 1-4√7+28 = 29-4√7
2) a) (x+3)² = x²+6x+9
b) (x-2)² = x²-4x+4
c) (3a+2)² = 9a²+12a+4
d) (4-3y)² = 16-24y+9y²
3) (a-b)(a+b) = a²-b²
a) (√3-1)(√3+1) = 3-1 = 2
b) (x+5)(x-5) = x²-25
c) (2√2-5)(2√2+5) = 8-25 = -17
d) (2+7z)(2-7z) = 4-49z²
