Question

A=Ƶ-2 B=Ƶ+3

C=Ƶ+1 D=Ƶ+5

a)A.B b)B.C c)A.B.C

d)B.C.D e)C.D



AJUDA PFVR!!!
​

Answer 1

Explicação passo a passo:

A =Z - 2

B = Z + 3

C =Z + 1

D = Z + 5

a

A * B = ( Z + 2) * ( Z + 3 )

Z* ( Z + 3 ) = Z² + 3Z>>>>

2 * ( Z + 3 ) = 2Z + 6 >>>>

JUNTANDO AS 2 RESPOSTAS >>>> Z² + 3Z + 2Z + 6

3Z + 2Z = 5Z

RESPOSTA >>> Z² + 5Z +6 >>>>>

b

B * C

( Z+ 3) * ( Z + 1 ) =

Z* ( Z + 1 ) = Z² + Z >>>>

3 * ( Z + 1 ) = 3Z + 3 >>>>

JUNTANDO

Z² + Z + 3Z + 3

1Z + 3Z = 4Z

REESCREVENDO

Z² + 4Z + 3 >>>>>RESPOSTA

c

A * B * C =

resposta em a acima de A * B =Z² + 5Z + 6

( Z² +5Z +6 ) * C =

Z² + 5Z + 6 ) * ( Z + 1 )

( Z + 1 ) * ( Z² + 5Z + 6 )

Z¹ * ( Z² + 5Z + 6 ) =Z³ +5Z² + 6Z¹

1* ( Z² +5Z + 6 ) = Z² +5Z + 6

JUNTANDO AS 2 RESPOSTAS

Z³ + 5Z² + 6Z¹+ Z² + 5Z¹ + 6 =

5Z² `+1Z² = +6Z²

6Z¹ + 5Z¹ = + 11Z¹

RESPOSTA >>> Z³ + 6Z² +11Z¹ + 6

d

B * C * D

em B * C em b acima temos z² + 4z + 3

( z² + 4z + 3 ) * D ou

(z +5) * ( z² + 4z + 3 ) =

z¹ * ( z²+ 4z + 3 ) = z³ + 4z² +3z¹

5 * (z² +4z + 3 ) = 5z² + 20z + 15

juntando

z³ + 4z² +3z¹ + 5z² + 20z + 15=

4z² + 5z² = 9z² >>>

3z + 20z = 23z >>>

juntando

z³ + 9z² + 23z +15 >>>>resposta

e

C * D = ( Z + 1 ) * ( Z+ 5 )

Z * ( Z+ 5 ) =Z² +5Z>>>

1* ( Z +5 ) = Z + 5>>>

JUNTANDO

Z² +5Z +Z + 5 =

5Z + 1Z = 6Z >>>

RESPOSTA >Z² + 6Z + 5 >>>>