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(2x-1)² = 4x²- 4x+1
(3x+2)² = 9x²+12x+4
Zad.2
c)
(3+√2)² = 9+2+6√2 = 11+6√2
d)
(3√2-4)²-(√3-√5)(√3+√5) = 18+16-24√2 -(3-5) = 36-24√2
Zad.3
x = √5
(x-5)²-2(2x+3)(2x-3) = x²-10x+25 -2(4x²-9)
x²-10x+25 -2(4x²-9) = (√5)²-10(√5)+25 -2(4(√5)²-9)= 5-10√5+25-2*11 = 8-10√5
Zad.4
e)
x²-10 = (x-√10)(x+√10)
f)
25x²-9 = (5x-3)(5x+3)
Zad.5
(√(2-√3)-√(2+√3))² = √(2-√3)²+√(2+√3)²-2√(2-√3)√(2+√3)=
=2-√3+2+√3 - 2(4-3) =4-2 =2