softlystars softlystars
  • 07-02-2022
  • Mathematics
contestada

a
Prove: The square of a number that is
two more than a multiple of 3 is one more
than a multiple of 3.

(3n + 2)^2 = [? ]

a Prove The square of a number that is two more than a multiple of 3 is one more than a multiple of 3 3n 22 class=

Respuesta :

Аноним Аноним
  • 07-02-2022

Answer:

Step-by-step explanation:

[tex](3n+2)^{2} = (3n+2)(3n+2)[/tex]

[tex]9n^{2} +12n+4[/tex] - I expanded the above brackets

[tex]9n^{2} +12n+3+1[/tex]  - I separated the 1 from 4 to make 3+1

[tex]3(3n^{2} +4n+1)+1[/tex] - I took out a factor of 3

= 1 more than a multiple of 3

Answer Link

Otras preguntas

Solve the equation y=7x-5
If a horse runs 1.5 miles in 2 minutes and 24 seconds, what is his rate of speed in mph?
during the 1820s, political leaders realized that there was a direct correlation between education and the stability of the nation. True or False
why isn't moon shadows entire family in the us
please help me who is prometheus?
please help me correct the right choice so that the pronouns agree with the antecedents.1- Each of the horses stood on ( its, their ) hind legs.2) Neither Bob n
a 2.5 kg table can hold kg of weight. what is its structural efficiency?
The length of a side of a square is . If the area of the square is 12, find x.
The volume of a sphere is found using the formula . If the volume of a sphere is 36 , what is the radius, in feet?
If a horse runs 1.5 miles in 2 minutes and 24 seconds, what is his rate of speed in mph?