plshelpmua plshelpmua
  • 14-08-2019
  • Mathematics
contestada

Find a factorization of 2^6 +1 and 2^12+1 as a sum of two cubes

Respuesta :

Gasaqui
Gasaqui Gasaqui
  • 23-08-2019

Answer:

(4+1)(4^2 - 4*1+1)

(16+1)(16^2-16+1)

Step-by-step explanation:

Sum of cubes is a common case of factorization:

[tex]x^{3}+y^{3}=(x+y)(x^{2} -xy+y^{2} )[/tex]

The first case can be written as: (2^2)^3+1^3= 4^3 + 1^3 which can be factorized as (4+1)(4^2 - 4*1+1)

And we can solve it, and the result is 65.

The second case can be written as (2^4)^3 + 1^3= (16^3 +1^3) which can be factorized as (16+1)(16^2-16+1)=(17)*(241)=4097

Answer Link

Otras preguntas

Dr. Charles is using _____ when she uses strong magnets to track changes in the brain's blood-oxygen levels.
What are 2 adaptations?
a triangle has a base of 7 1/8 feet and height 7 1/5 ft. what is the area as a mixed number
Driver d had a speed between driver a and drive c
Which Greek geometer founded a philosophical society that developed its self to the study of mathematics
Each year millions of people watch, and many attend, nfl games. a sociologist, observing how the team logos, colors, the field, and the rivalries bring people t
which of the following was a denefit of the sumerian writing system
This early American political party was founded by Thomas Jefferson and James Madison and was based upon a "strict constructionist" view of the U.S. Constitutio
What was the relationship between Confucianism and Daoism?
what is a reason the Missouri compromise did not have lasting effects