Question

Doprowadź wyrażenia do najprostrzej postaci :

a) -(2a-3b+5) + (4a-7b+3)- (-3a-2b-1) =

b) (4a+2b-7) -(a-3b-4)-(2a-b-3)=

c) -(-2a+5b-4) +(2a-3b-4) - (-3a-b+2)=

d) (-5a+b-3)- (2a- 3b +5)- (4a-b-8) =

Answer 1

a) -(2a-3b+5) + (4a-7b+3)- (-3a-2b-1) = -2a + 3b - 5 + 4a - 7b + 3 - 3a + 2b + 1 =
-a - 2b - 1

b) (4a+2b-7) -(a-3b-4)-(2a-b-3)= 4a + 2b - 7 - a + 3b + 4 - 2a + b + 3=
a + 6b

c) -(-2a+5b-4) +(2a-3b-4) - (-3a-b+2)= 2a + 5b + 4 + 2a - 3b - 4 - 9 + 3a + b - 2 =
7a + 3b - 11

d) (-5a+b-3)- (2a- 3b +5)- (4a-b-8) = -5a + b - 3 - 2a + 3b - 5 - 4a + b + 8 =
-11a + 5b

 

Answer 2

a) -(2a-3b+5) + (4a-7b+3)- (-3a-2b-1) = -2a + 3b - 5 + 4a - 7b + 3 + 3a + 2b + 1 =

= -2a + 4a + 3a + 3b - 7b + 2b - 5 + 3 + 1 = 5a - 2b - 1

b) (4a+2b-7) -(a-3b-4)-(2a-b-3)= 4a + 2b - 7 - a + 3b + 4 - 2a + b + 3 =

= 4a - a - 2a + 2b + 3b + b - 7 + 4 + 3 = a + 6b

c) -(-2a+5b-4) +(2a-3b-4) - (-3a-b+2) = 2a - 5b + 4 + 2a - 3b - 4 + 3a + b - 2 =

= 2a + 2a + 3a - 5b - 3b + b + 4 - 4 - 2 = 7a - 7b - 2

d) (-5a+b-3)- (2a- 3b +5)- (4a-b-8) = -5a + b - 3 - 2a + 3b - 5 - 4a + b + 8 =

= -5a - 2a - 4a + b + 3b + b - 3 - 5 + 8 = -11a + 5b