Question

1. а)-(59-75)-(34-49); б) (82 - 9) + (32 - 8); в) (49 - 5) - (29 - 4); г) -(8 - 102) - (142 - 53). Розкрийте дужки і спростіть вираз: 2. а) 9-(а+ 37); б) -(4 - а + 2) - 118; в) Ь + (78 - Ь - 19); г) -(а + 51) - (-а - 49). 3 а) -24 - (56 - а); б) 41 - (52 + Ь - 15); в) - (-5 + а) - 72; г) - {а - 6) + (42 + а - 58).

Answer 1

1. а) -59+75-34+49= 124-93= 31

б) 82-9+32-8= 114-17= 97

2. а) 9-а-37= -а-28

б) -4+а-8-118= а -130

в) ь+78-ь-19= 59

г) -а-51+а+49= -2

3. а) -24-56+а= а-80

б) 41-52-ь+15= -ь -52+56= -ь+4

в) 5-а-72= -а-67

г) -а+6+42+а-58= 48-58= -10

Answer 2

1. Let's simplify the expressions one by one:

a) (59-75)-(34-49) = -16 - (-15) = -16 + 15 = -1

b) (82 + 9) + (32 + 8) = 91 + 40 = 131

c) (49 + 5) - (29 + 4) = 54 - 33 = 21

d) -(8 + 102) - (142 + 53) = -110 - 195 = -305

2. Now let's simplify the expressions with variables:

a) 9 - (a + 37) = 9 - a - 37 = -a - 28

b) - (4 + a + 2) - 118 = -6 - a - 118 = -a - 124

c) b + (78 - b - 19) = b + 78 - b - 19 = 59

d) - (a + 51) - (-a - 49) = -a - 51 + a + 49 = -2

3. Finally, let's simplify the expressions with variables and numbers:

a) -24 - (56 - a) = -24 - 56 + a = a - 80

b) 41 - (52 + b - 15) = 41 - 67 - b + 15 = -26 - b

c) - (-5 + a) - 72 = 5 - a - 72 = -a - 67

d) - (a + 6) + (42 + a - 58) = -a - 6 + 42 + a - 58 = -22

These are the simplified expressions after expanding the brackets and combining like terms.