a)
-x-4(1-x)=-x-4+4x=3x-4
b)
3(5x-2)-5(3-4x)=15x-6-15+20x=35x-21
c)
\sqrt2(3-x)-2(1-x\sqrt2)=3\sqrt2-\sqrt2x-2+2\sqrt2x=\sqrt2x+3\sqrt2-2
d)
x-\frac{x-1}{3}+3(x-\frac{1}{9})=x-\frac{1}{3}x+\frac{1}{3}+3x-\frac{1}{3}=3\frac{2}{3}x
\frac{2x}{3}+\frac{1}{3}+3x-\frac{1}{3}=3\frac{2}{3}x
e)
2(n-3)-\frac{4n+1}{2}=\frac{4(n-3)-(4n+1)}{2}=\frac{4n-12-4n-1}{2}=\frac{-13}{2}=-6\frac{1}{2}
albo
2(n-3)-\frac{4n+1}{2}=2n-6-2n-\frac{1}{2}=-6\frac{1}{2}
f)
\frac{x+3}{2}-\frac{4x+2}{4}=\frac{1}{2}x+\frac{3}{2}-\frac{4}{4}x-\frac{2}{4}=\frac{1}{2}x-x+1\frac{1}{2}-\frac{1}{2}=-\frac{1}{2}x+1
albo
\frac{x+3}{2}-\frac{4x+2}{4}=\frac{2(x+3)-(4x+2)}{4}=\frac{2x+6-4x-2}{4}=\frac{4-2x}{4}=\frac{2(2-x)}{4}=\frac{2-x}{2} wynik w innej postaci