228
a) 5-1+10-1 = 1/5+1/10 = 2+1/10 = 3/10
b) (0,5+1)-2 = 1/1,52 = 1/2,25
g) (2-4+4-2)-1 = (1/24+1/42)-1 = (1/16+1/16)-1 = 2/16 = 8
d) (2-2-1)-1 = (2/1-1/2)-1 = (4-1/2)-1 = 2/3
e) 3-1+9-1 = 1/3+1/9 =3+1/9 = 4/9
z) (0,2+1)-1 = 1/1,2
230
a) a-2-b-2/a-1+b-1 = 1/a2-1/b2/1/a+1/b = b2-a2/a2b2/b+a/ab = (b-a)(b+a)ab/a2b2(b+a) = (b-a)/ab
b) a-3+b-3/a-1+b-1 = 1/a3+1/b3/1/a+1/b = b3+a3/a3b3/b+a/ab = (b3+a3)ab/a3b3(b+a) = b2-ba+a2/a2b2
d) a-4-b-4/a-2+b-2 = 1/a4-1/b4/1/a2+1/b2 = b4-a4/a4b4/b2+a2/a2b2 = (b4-a4)a2b2/a4b4(b2+a2) = (b4-a4)/a2b2(b2+a2) = (b2-a2)(b2+a2)/a2b2(b2+a2) = (b2-a2)/a+b2
232
a) a-2+2a-1b-1+b-2/a-2-b-2 = (a-1+b-1/1/a2-1/b2 = (b+a/ab)2/1/b2-a2/a2b2 = (b+a)2/a2b2•a2b2/(a+b)(a-b) = (b+a)/(a-b)
b) a-3+b-3/a-2-a-1b-1+b-2 = (a-1-b-1)(a-1)2+(a-1)(b-1)+(b-1)2/a2-a-1b-1+b-2 = a-1-b-1 g) (a3-b3/a3+b3)5•(a3-b3/a3+b3)-5 = 1