Question

A=3x-y B=x-1 C=-3x-y
A-B-C A-(B-C)

zapisz w jak najprostrzej postaci
a) (x-2)-(2-x)
b) (a+b)+(2a-b)-(a-2b)
c)(3x-y+1)-(x+y)+(y-x)
d)-(2a[2]-3ab)-(2b-3a[2])+(-ab-b)

[2]- do potęgi drugiej

Answer 1

A - B - C

3x -y - x-1 -(-3x -y) = 3x -y -x -1 +3x +y= 5x -1

 

A - (B - C)

3x -y -( x-1 - (-3x -y)) = 3x -y -x +1 +3x +y = 5x +1

 

a) (x -2) - (2-x) = x-2 -2 +x = 2x -4

 

b) (a+b) + (2a -b) - (a -2b) = a +b +2a -b -a +2b = 2a +2b

 

c) ( 3x -y +1) - (x +y) + (y-x)= 3x -y +1 -x -y +y -x = x -y +1 

 

d) - (2a^2 -3ab) - (2b -3a^2 ) + (-ab -b) = -2a^2 +3ab -2b +3a^2 -ab -b = a^2 +2ab -3b