2)Escreva a forma irredutível das expressões a seguir
a)3(2×+4) - 3x-9x - 18
b)7(4y-3x)-10x-9y
c)5(2z-2)+3y-3+7x
a)3(2×+4) - 3x-9x - 18
b)7(4y-3x)-10x-9y
c)5(2z-2)+3y-3+7x
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Resposta:a) -6x -6
b) 19y- 31x
c) 10z - 13 + 3y + 7x
passo a passo:
a)3(2×+4) - 3x-9x - 18
6x + 12 - 3x - 9x -18
-6x -6
b)7(4y-3x)-10x-9y
28y - 21x - 10x - 9y
19y- 31x
c)5(2z-2)+3y-3+7x
10z - 10 + 3y - 3 + 7x
10z - 13 + 3y + 7x
Resposta:
A)-6x-6
B)19y-31x
C)10z-13+3y+7y
Explicação passo-a-passo:
A)3(2x+4)-3x-9x-18
3(2x+4)-3x-9x-18
3(2x+4)
3×2x+3×4
6x+3×4
3×2x+3×4
6x+12
3(2x+14)-3x-9x-18
6x+12-3x-9x-18
6x-3x-9x
(6-3-9)x
-6x
6x+12-3x-9x-18
-6x+12-18
6x+12-3x-9x-18
12-18
-(18-12)
-6
6x+12-3x-9x-18
-6x-6
Resposta
-6x-6
B)7(4y-3x)-10x-9y
7(4y-3x)-10x-9y
7(4y-3y)
7×4y-7×3x
28-7×3y
7×4y-7×3x
28y-21x
7(4y-3x)-10x-9y
28y-21x-10x-9y
28y-9y
(28-9)y
19y
28y-21y-10x-9y
19y-21y-10x
28y-21y-10x-9y
-21y-10x
(-21-10)x
-31y
28y-21x-10x-9y
19y-31x
Resposta
19y-31x
C)5(2z-2)+3y-3+7x
5(2z-2)+3y-3+7x
5(2z-2)
5×2z-5×2
10z-5×2
5×2z-5×2
10z-10
5(2z-2)+3y-3+7x
10z-10+3y-3+7x
-10-3
-(10+3)
-13
10z-10+3y-3+7x
10z-13+3y+7x
Resposta
10z-13+3y+7x