Question

reduza os monômios semelhantes.
a) -4xy + 6xy - 5xy =
b) 5a³ + 7a³ - 9a³ + 3a³ =
c) -3x - 5x + 2x - x + 4x =
d) 3/2x ² + 2/3x ² - 7/6x ²= -
e) 1/8x - 3/8x + 1/2x =
f) 2a² - 7/2a² - 3/4a²=

Answer 1

Explicação passo-a-passo:

a)

-4xy + 6xy - 5xy = ( -4 + 6 - 5 )xy =

-4 + 6 = +2 sinais diferentes diminui sinal do maior

+2 - 5 = -3 idem

resposta -3xy

b)

5a³ + 7a³ - 9a³ + 3a³ = ( +5 + 7 - 9 + 3 )a³ =

+5 + 7 = +12

+12 - 9 + =3

+3 + 3 = +6

sinais diferentes diminui sinal do maior e sinais iguais soma conserva sinal

resposta >>>> +6a³ >>>

c)

-3x - 5x + 2x - x + 4x = ( -3 - 5 + 2 - 1 + 4 )x

-3 - 5 = - 8 regra acima

-8 + 2 = -6 idem

-6 - 1 = -7idem

-7 + 4 = - 3

resposta >>> -3x >>>

d)

3/2x ² + 2/3x ² - 7/6x ²= ( 3/2 + 2/3 - 7/6)x² =

3/2 + 2/3 = ( 9 + 4)/3 =+ 13/3 regra acima

+ 13/3 - 7/6 = ( 26 - 7 )/6 =+ 19/6

resposta >>>( + 19/6)x² >>>

e)

1/8x - 3/8x + 1/2x = ( + 1/8 - 3/8 + 1/2 ) x

+ 1/6 - 3/8 = ( +1 - 3 )/8 = - 2/8 regra acima

- 2/8 + 1/2 = ( -2 + 4)/8 = + 2/8 por 2 = + 1/4

resposta >>>> (+1/4)x

f)

2a² - 7/2a² - 3/4a²= ( 2/1 -7/2 - 3/4)a²

2/1 - 7/2 = ( 4 - 7 )/2 = - 3/2 regra acima

- 3/2 - 3/4 = ( -6 - 3)/4 = -9/4

resposta >>>> ( - 9/4)a²