Odpowiedź :
Odpowiedź:
I część:
a) 7x +(5x + 3) = 7x + 5x + 3 = 12x + 3 = 3(4x + 1)
b) 6a - (2a-6) = 6a - 2a + 6 = 4a + 6 = 2(2a + 3)
c) -10x -(5x - 4) + (4 - 4x) = -10x - 5x + 4 + 4 - 4x = -19x + 8
d) -(7y - 2x) - (-4x - 7y) = - 7y + 2x + 4x + 7y = 6x
e) -6 - (5x + 3y - 20) - (6x - 2y + 2) = -6 -5x - 3y + 20 -6x + 2y - 2 = -11x - y + 12
f) 12x - (-2x - 5) + (- 2x - 5) - (-2x - 6) = 12x + 2x + 5 -2x - 5 + 2x + 6 = 14x + 6 = 2(7x + 3)
II część:
a) 5x - (2x + 2y - 3) - (-2x - 2y - 2)
5x - 2x - 2y + 3 + 2x + 2y + 2
5x + 5
5 razy (-2) + 5 = -10 + 5 = -5
b) -(5xy + 4) - (xy - 3) + (5xy - 4)
-5xy -4 -xy + 3 + 5xy - 4
-xy - 5
-(-2) razy (-5) - 5 = -10 - 5 = -15
c) -(-3x - 4y - 12) - (-3x + y + 3)
3x + 4y + 12 + 3x -y -3
3y + 9
3 razy (-5) + 9 = -15 + 9 = -6
d) -(-x - 3xy - 9y) -(3xy + y - 3x)
x + 3xy + 9y - 3xy -y + 3x
4x + 8y
4 razy (-2) + 8 razy (-5) = -8 - 40 = -48
Szczegółowe wyjaśnienie:
Odpowiedź:
Część I
7x+(5x+3)=7x+5x+3=12x+3=3(4x+1)
6a - (2a-6) =6a-2a+6=4a+6=2(2a+3)
-10x -(5x-4) +( 4-4x)=-10x-5x+4+4-4x=-19x+8
-(7y-2x)-(-4x-7y)=-7y+2x+4x+7y=6x
-6-(5x+3y-20)-(6x-2y+2)=-6-5x-3y+20-6x+2y-2=-11x-y+12
12x-(-2x-5)+(-2x-5)-(-2x-6)=12x+2x+5-2x-5+2x+6=14x+6
Część II
5x - (2x+2y-3) - (-2x-2y-2)=
5x-2x-2y+3+2x+2y+2=
5x+5
dla x=-2 i y=-5
5*(-2)+5=-10+5=-5
-(5xy + 4)-(xy -3) +(5xy-4) =
-5xy-4-xy+3+5xy-4=
-xy-5
dla x=-2 i y=-5
-(-2)*(-5)-5=-10-5=-15
-(-3x-4y-12)-(-3x+y+3) =
3x+4y+12+3x-y-3=
6x+3y+9=3(2x+y+3)
dla x=-2 i y=-5
3(2*(-2)+(-5)+3)=3(-4-5+3)=3*(-6)=-18
-(-x-3xy -9y)-(3xy+y-3x)=
x+3xy+9y-3xy-y+3x=
4x+8y=4(x+2y)
dla x=-2 i y=-5
4(-2+2*(-5))=4(-2-10)=4*-12=-48
Szczegółowe wyjaśnienie: