Odpowiedź:
Zad 1
a) (3x-2)²
(3x-2)×(3x-2)
3x×3x-3x×2-2×3x-2×(-2)
9x²-6x-6x+4
9x²-12x+4
b) (4+√3)²
(4+√3)(4+√3)
4×4+4√3+4√3+√3√3
16+4√3+4√3+3
19+8√3
c) (4x-2)(2+4x)
4x×2+4x×4x-2×2-2×4x
8x+16x²-4-8x
16x²-4
d) (5-√7)(5+√7)
5×5+5√7-5√7-√7√7
25+5√7-5√7-7
18
e)( 1/2x+2/3)²
(1/2x+2/3)(1/2x+2/3)
1/2x×1/2x+1/2x×2/3+2/3×1/3x+2/3×2/3
1/4x²+x×1/3+1/3x+4/9
1/4x²+1/3x+1/3x+4/9
1/4x²+2/3x+4/9
f) 3(x-1)²-(x-2)(x+2)
3(x²-2x+1)-(x²-4)
3x²-6x+3-x²+4
2x²-6x+7
Zad 2
(3x-1)²-(3+x)(3-x)+4x
9x²-6x+1-(9-x²)+4x
9x²-6x+1-9+x²+4x
10x²-2x-8
10×(-2)²-2×(-2)-8
10×2²+4-8
10×4+4-8
40+4-8
36
