Zadanie 1
a) [tex]7x^5 - 21x^4 + 42x^2 = 7x^2(x^3 - 3x^2 + 6)[/tex]
b) [tex]8xy^2 - 10x^2y = 2xy(4y - 5x)[/tex]
Zadanie 2
a) [tex](5x + 4)(3x - 1) = 15x^2 -5x + 12x - 4 = 15x^2 + 7x - 4[/tex]
b) [tex](x +2)(3x^2 - 5x - 4) = 3x^3 - 5x^2 - 4x + 6x^2 - 10x - 8 = 3x^3 + x^2 - 14x - 8[/tex]
c) [tex](3x +2)(x -1)(2x - 4) =(3x^2 - 3x + 2x - 2)(2x-4) = (3x^2 - x - 2)(2x-4) =[/tex]
= [tex]6x^3 - 12x^2 - 2x^2 + 4x - 4x + 8 = 6x^3 - 14x^2 + 8[/tex]
d) [tex](3\sqrt{3} +1)( 2\sqrt{3} -4)= 18 - 12\sqrt{3} + 2\sqrt{3} - 4 = 14 - 10\sqrt{3}[/tex]
e) [tex](\sqrt{5} - \sqrt{3}) (\sqrt{3} + 2\sqrt{5}) = \sqrt{15} + 10 - 3 - 2\sqrt{15} = -\sqrt{15} + 7[/tex]
