Question

Reduza os termos semelhantes nas seguintes expressões algébricas:
11) 4x – ( -3X + 9 – 2X) =

12) 3x – (-2x + 5) – 8x + 9 =

13) 4x – 3 + (2x + 1) =

14) (x + y) – (x + 2y) =

15) ( 3x – 2y) + (7x + y) =

16) –(8a + 4 – ( 3a + 2) =

17) 5a + (3a -2) – (10a – 8) =

18) 6x + (5x -7) – (20 + 3x ) =

19) (x + y + z) + x – (3y + z) =

20) (m + 2n ) – ( r – 2n) – ( n+ r) =

21) – (6y + 4x ) + ( 3y – 4x ) – (-2x + 3y) =

22) 6x² - [ 4x² + (3x – 5) + x] =

23) 3X + { 2Y – [ 5X – (Y + X)]} =

24) – 3x + [ x² - ( 4x² - x ) + 5x] =

25) Xy – [ 2x + (3xy – 4x ) + 7x] =

26) 8a – [ ( a + 2m) – ( 3a – 3m)] =​

Answer 1

Reduza os termos semelhantes nas seguintes expressões algébricas:

11) 4x – ( -3X + 9 – 2X)
= 4x + 3x - 9 + 2x
= 9x - 9
___________

12) 3x – (-2x + 5) – 8x + 9
= 3x + 2x - 5 - 8x + 9
= - 3x + 4
____________

13)
4x – 3 + (2x + 1)
= 4x + 2x - 3 + 1
= 6x - 2
___________

14)
(x + y) – (x + 2y)
= x - x + y - 2y
= - y
___________

15)
( 3x – 2y) + (7x + y)
= 3x + 7x - 2y + y
= 10x - y
_____________

16)
–(8a + 4) – ( 3a + 2)
= - 8a - 4 - 3a - 2
= - 11a - 6
_________________

17) 5a + (3a -2) – (10a – 8)
= 5a + 3a - 2 - 10a + 8
= - 2a + 6
_________

18) 6x + (5x -7) – (20 + 3x )
= 6x + 5x - 7 - 20 - 3x
= 8x - 27
_________

19) (x + y + z) + x – (3y + z)
= x + y + z + x - 3y - z
= 2x - 2y
__________

20) (m + 2n ) – ( r – 2n) – ( n+ r)
= m + 2n - r + 2n - n - r
= m + 3n - 2r
______________

21)
– (6y+4x)+( 3y - 4x ) - (-2x + 3y)
= - 6y - 4x + 3y - 4x + 2x - 3y
= - 6y - 6x
_____________

22) 6x² - [ 4x² + (3x – 5) + x]
= 6x^2 - [4x^2 + 3x - 5 + x]
= 6x^2 - 4x^2 - 3x + 5 - x
= 2x^2 - 4x + 5
_____________

23) 3X + { 2Y – [ 5X – (Y + X)]}
= 3x + {2y - [ 5x - y - x]}
= 3x + {2y - 5x + y + x}
= 3x + 3y - 4x
= - x + 3y
__________

24) – 3x + [ x² - ( 4x² - x ) + 5x]
= - 3x + [ x^2 - 4x^2 + x + 5x]
= - 3x + [ - 3x^2 + 6x]
= - 3x - 3x^2 + 6x
= - 3x^2 + 3x
_______________

25) Xy – [ 2x + (3xy – 4x ) + 7x]
= xy - [ 2x + 3xy - 4x+ 7x]
= xy - [ 5x + 3xy]
= xy - 5x - 3xy
= - 2xy - 5x
__________

26) 8a – [ ( a + 2m) – ( 3a – 3m)] =​ 8a - [ a+ 2m - 3a + 3m]
= 8a - [ - 2a + 5m]
= 8a + 2a - 5m
= 10a - 5m
_______________

Answer 2

11)9x-9

12)-3x+4

13)-6x-2

14)-y

15)10x-y

16)-5a-2

17)-2a+6

18)8x-27

19)2x-2y

20)4n-2r

21)-6y-6x

22)2x^2-4x+5

23)-y+3y

24)3x-3x^2

25)-2xy-5x

26)10a-5n

Explicação passo a passo

11)4x-(-3x+9-2x)=

4x-(-3x+9-2x)

-3x-2x

(-3-2)x

-5x

4x-(-3x+9-2x)

4x-(-5x+9)

4x+5x-9

4x+5x

(4+5)x

9x

4x+5x-9

9x-9

Resposta

9x-9

12)3x-(-2x+5)-8x+9=

3x-(-2x+5)-8x+9

3x+2x-5-8x+9

3x+2x-8x

(3+2-8)x

-3x

3x+2x-5-8x+9

-3x-5+9

3x+2x-5-8x+9

-5x+9

+(9-5)

4

3x+2x-5-8x+9

-3x+4

Resposta

-3x+4

13)4x-3+(2x+1)=

4x-3+(2x+1)

4x-3+2x+1

4x+2x

(4+2)x

6x

4x-3+2x+1

6x-3+1

4x-3+2x+1

-3+1

-(3-1)

-2

4x-3+2x+1

6x-2

Resposta

6x-2

14)(x+y)-(x+2y)=

(x+y)-(x+2y)

x+y-(x+2y)

(x+y)-(x+2y)

x+y-x-2y

y-2y

x+y-x-2y

y-2y

1y-2y

(1-2)y

-1y

-y

x+y-x2y

-y

Resposta

15)(3x-2y)+(7x+y)=

(3x-2y)+(7x+y)

3x-2y+(7x+y)

(3x-2y)+(7x+y)

3x-2y+7x+y

x+7x

(3+7)x

10x

3x-2y+7x+y

10x-2y+y

3x-2y+7x+y

-2y+y

-2y+1y

(-2+1)y

-1y

-1y

3x-2y+7x+y

10x-y

resposta

10x-y

16)-(8a+4-(3a+2)=

-(8a+5-(3a+2)

-(8a+4-3a-2)

8a-3a

(8-3)a

5a

-(8a+4-3a-2)

-(5a+2)

-5a-2

Resposta

-5a-2

17)5a+(3a-2)-(10a-8)=

5a+(3a-2)-(10a-8)

5a+3a-2-2(10a-8)

5a+(3a-2)-(10a-8)

5a+3a-2-10a+8

5a+3a-10a

(5+3-10)a

-2a

5a+3a-2-10a+8

-2a-2+8

5a+3a-2-10a+8

-2+8

+(8-2)

6

5a+3a-2-10a+8

-2a+6

Resposta

-2a+6

18)6x+(5x-7)-(20+3x)=

6x+(5x-7)-(20+3x)

6x+5x-7-(20+3x)

6x+(5x-7)-(20+3x)

6x+5x-7-20-3x

6x+5x-3x

(6+5-3)x

8x

6x

6x+5x-7-20-3x

8x-7-20

6x+5x-7-20-3x

-7-20

-(7+20)

-27

6x+5x-7-20-3x

8x-27

Resposta

8x-27

19)(x-y+z)+x-(3y+z)=

(x-y+z)+x-(3y+z)

x+y+z+x-(3y+z)

(x+y+z)+x-(3y+z)

x+y+z+x-3y-z

x+y+x-3y

x+y+z+x-3y-z

x+x

1x+x

x+x

1x+1x

(1+1)x

2x

x+y+z+x-3y-z

2x+y-3y

x+y+z+x-3y-z

y-3y

1y-3y

(1-3)y

-2y

x+ý+z+x-3y-z

2x-2y

Resposta

2x-2y

20)(m+2n)-(r-2n)-(n+r)

(m+2n)-(r-2n)-(n+r)

m+2n(-r-2n)-(m+r)

(m+2n)-(r-2n)-(n+r)

m+2-(r-2n)-m-r

2n-(r-2n)-r

m+2n-(r-2n)- m-r

2n-r+2n-r

2n+2n

(2+2)n

4n

2n-r+2n-r

4n-r-r

2n-r+2n-r

-r-r

-1r-r

-^r-r

-1r-1r

(-1-1)r

-2r

2n-r+2n-r

4n-2r

Resposta

4n-2r

21)-(6y+4x)+(3y-4x)-(-2x+3y)=

-(6y+4x)+(3y-4x)-(-2x+3y)

-(6y+4x)+3y-4x-(-2x+3y)

-(6y+4x)+(3y-4y)-(-2x+3y)

-(6y+4x)+3y-4x+2x-3y

-(6y+4x)-4x+2x

-(6y+4x)+3y-4x+2x-3y

-6y-4x-4x+2x

-4x-4x+2x

(-4-4+2)x

-6x

-6y-4x-4x+2x

-6y-6x

resposta

-6y-6x

22)6x^2-(4x^2+(3x-5)+x)=

6x^2-(4x^2+(3x-5)+x)

6x^2-(4x^2+3x-5+x)

3x+x

3x+1x

(3+1)x

4x

6x^2-(4x^2+3x-5+x)

6x^2-(4x^2+4x-5)

6x^2-4x^2-4x+5

6x^2-4x^2

(6-4)x^2

2x^2

6x^2-4x^2-4x+5

2x^2-4x+5

Resposta

2x^2-4x+5

23)3x+(2y-(5x-(y+x))=

3x+(2y-(5x-(y+x))

3x+(2y-(5x-y-x))

5x-x

5x-1x

(5-1)x

4x

3x+(2y-(5x-y-x))

3x+(2y-(4x-y))

3x+(2y-4x+y)

2y+y

2y+1y

(2+1)y

3y

3x+(2y-4x+y)

3x+(3y-4x)

3x+3y-4x

3x-4x

(3-4)x

-1x

-x

3x+3y-4x

-x+3y

resposta

-y+3y

24)-3x(x^2-(4x^2-x)+5x)=

-3x(x^2-(4x^2-x)+5x)

-3x+(x^2-4x^2+x+5x)

x2-4x^2

1x^2-4x^2

(1-4)x^2

-3x^2

-3x+(x^2-4x^2+x^2+x+5x)

-3x+(-3x^2+x+5x)

-3x+(x^2-4x^2+x+5x)

x+5x

1x+5x

(1+5)x

6x

-3x+(x^2-4x^2+x+5x)

-3x+(-3x^2+6x)

-3x-3x^2+6x

-3x+6x

(-3+6)x

3x

-3x-3x^2+6x

3x-3x^2

Resposta

3x-3x^2

25)xy-(2x+(2xy-4x)+7x)=

xy-(2xy+(2xy-4x)+7x)

xy-(2x+3xy-4x+7x)

2x-4x+7x

(2-4+7)x

5x

xy-(2x+3xy-4x+7x)

xy-(5x+3xy)

xy-5x-3xy

xy-3xy

1xy-3xy

(1-3)xy

-2xy

xy-5x-3xy

-2xy-5x

Resposta

-2xy-5x

26)8a-((a+2m)-(3a-3m))=

8a-(a+2m)-(3a-3m))

8a(a+2m-(3a-3m))

8a-((a+2m)-(3a-3m))

8a-(a+2m-3a+3m)

a-3a

1a-3a

(1-3)a

-2a

8a-(a+2m-3a+3m)

8a(-2a+2m+3m)

8a-(a+2m-3a+3m)

2m+3m

(2+3)m

5m

8a(a+2m-3a+3m)

8a-(-2a+5m)

8a+2a-5m

8a+2a

(8+2)a

10a

8a+2a-5m

10a-5m

resposta

10a-5m