6. [latex]V=abc[/latex] [latex]V=(2x+1)left(frac{1}{2}x+1 ight) (2x-1)[/latex] [latex]V=(2x+1)(2x-1)left(frac{1}{2}x+1 ight)[/latex] [latex]V=(4x^2-1)(frac{1}{2}x+1)[/latex] [latex]V=2x^3+4x^2-frac{1}{2}x+1[/latex] dziedzina : [latex]2x+1>0 Rightarrow 2x>-1 /:2 Rightarrow x>- frac{1}{2}[/latex] [latex]frac{1}{2}x+1>0 / cdot 2 Rightarrow x+2>0 Rightarrow x>-2[/latex] [latex]2x-1>0 Rightarrow 2x>1 /:2 Rightarrow x>frac{1}{2}[/latex] [latex]x in left( frac{1}{2};+ infty ight)[/latex] ===================== 7. [latex]-3left(2-frac{1}{2}x ight) ^2-left(2x+frac{4}{5} ight) ^3=[/latex] [latex]-3left(4-2x+ frac{1}{4}x^2 ight) -left(8x^3+ frac{48}{5}x^2 + frac{96}{25}x+ frac{64}{125} ight)=[/latex] [latex]-12+6x-0,75x^2-8x^3 - 9,6x^2 - 3,84x- 0,512=[/latex] [latex]- 8x^3 - 10,35x^2 + 2,16x - 12,512[/latex]
