Odpowiedź:
ZAD.4/170
x = 2 , y = - 3
a)
(x + y) + (x - 4) - (5 - y) = x + y + x - 4 - 5 + y = 2x + 2y - 9
2x + 2y - 9 = 2 * 2 + 2 * (-3) - 9 = 4 - 6 - 9 = -11
b)
-(2x + y) - (3 - x) + (2y - 5) = -2x - y - 3 + x + 2y - 5 = - x + y - 8
- x + y - 8 = - 2 +(-3) - 8 = - 2 - 3 - 8 = - 13
c)
(3x - y + 1) - (x + y) + (y - x) = 3x - y + 1 - x - y + y - x = x - y + 1
x - y + 1 = 2 -(-3) + 1= 2 + 3 + 1 = 6
d)
-(2x2 - 3xy) - (2y - 3x2) + ( -xy - y) = - 2x2 + 3xy - 2y + 3x2 - xy - y = x2 + 2xy - 3y
x2 + 2xy - 3y = 4 -12 + 9 = - 8 + 9 = 1
ZAD.5/170
(3x-y) + (x-1) = 3x-y+x-1 = 4x-y-1
(3x-y) + (x-1) - (-3x-y) = 3x-y+x-1+3x+y = 7x-1
(3x-y) - (x-1) - (-3x-y) = 3x-y-x+1+3x+y = 5x+1
(3x-y) - [(x-1) - (-3x-y)] = 3x-y-[x-1+3x+y] = 3x-y-x+1-3x-y = -x-2y+1
ZAD.23/182
a+(a-b) = a+a-b = 2a-b
b)2x-(x+4) = 2x-x-4 = x-4
7-(-x+6) = 7+x-6 = x+1
-(x+4)+(x-5) = -x-4+x-5 = -9
e)
1-(t+p)-(t-2) = 1-t-p-t+2 = -p-2t+3
f)
-(-y+2)+(-2y-4) = y-2-2y-4 = -y-6
ZAD.24/182
(a+b)-(2a-b)-(a-2b)= a+b-2a+b-a+2b = -2a+4b
(3x-y+1)-(x+y)+(y-x)= 3x-y+1-x-y+y-x = x-y+1
-(kx+ny)-(3kx+2ny)+(5kx-3ny) = -kx-ny-3kx-2ny+5kx-3ny = kx-6ny
(2ab+a+3)-(3ab-a+3)= 2ab+a+3-3ab+a-3 = -ab+2a
(4x^2-3x)-(x+0.1x^2)-(x^-0.1x)=4x^2-3x-x-0.1x^2-x^+0.1x = 2.9x^2-3.9x
^-oznacza do potęgi 2
Nie wiem czy dobrze ale mam nadzieję, że tak. Jak źle to sorki.
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Odpowiedź:
ZAD.4/170
x = 2 , y = - 3
a)
(x + y) + (x - 4) - (5 - y) = x + y + x - 4 - 5 + y = 2x + 2y - 9
2x + 2y - 9 = 2 * 2 + 2 * (-3) - 9 = 4 - 6 - 9 = -11
b)
-(2x + y) - (3 - x) + (2y - 5) = -2x - y - 3 + x + 2y - 5 = - x + y - 8
- x + y - 8 = - 2 +(-3) - 8 = - 2 - 3 - 8 = - 13
c)
(3x - y + 1) - (x + y) + (y - x) = 3x - y + 1 - x - y + y - x = x - y + 1
x - y + 1 = 2 -(-3) + 1= 2 + 3 + 1 = 6
d)
-(2x2 - 3xy) - (2y - 3x2) + ( -xy - y) = - 2x2 + 3xy - 2y + 3x2 - xy - y = x2 + 2xy - 3y
x2 + 2xy - 3y = 4 -12 + 9 = - 8 + 9 = 1
ZAD.5/170
a)
(3x-y) + (x-1) = 3x-y+x-1 = 4x-y-1
b)
(3x-y) + (x-1) - (-3x-y) = 3x-y+x-1+3x+y = 7x-1
c)
(3x-y) - (x-1) - (-3x-y) = 3x-y-x+1+3x+y = 5x+1
d)
(3x-y) - [(x-1) - (-3x-y)] = 3x-y-[x-1+3x+y] = 3x-y-x+1-3x-y = -x-2y+1
ZAD.23/182
a)
a+(a-b) = a+a-b = 2a-b
b)2x-(x+4) = 2x-x-4 = x-4
c)
7-(-x+6) = 7+x-6 = x+1
d)
-(x+4)+(x-5) = -x-4+x-5 = -9
e)
1-(t+p)-(t-2) = 1-t-p-t+2 = -p-2t+3
f)
-(-y+2)+(-2y-4) = y-2-2y-4 = -y-6
ZAD.24/182
a)
(a+b)-(2a-b)-(a-2b)= a+b-2a+b-a+2b = -2a+4b
b)
(3x-y+1)-(x+y)+(y-x)= 3x-y+1-x-y+y-x = x-y+1
c)
-(kx+ny)-(3kx+2ny)+(5kx-3ny) = -kx-ny-3kx-2ny+5kx-3ny = kx-6ny
d)
(2ab+a+3)-(3ab-a+3)= 2ab+a+3-3ab+a-3 = -ab+2a
e)
(4x^2-3x)-(x+0.1x^2)-(x^-0.1x)=4x^2-3x-x-0.1x^2-x^+0.1x = 2.9x^2-3.9x
^-oznacza do potęgi 2
Nie wiem czy dobrze ale mam nadzieję, że tak. Jak źle to sorki.