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

How are the processes of mitosis and meiosis similar to each other??
A baseball weights5 ounces.how much do 6 baseball weigh
If about her using 0.25 land for a park how many acres will he use for they park that is 24.5 acres
Which arrangement shows 3 4/5, 3.75, 3.6, and 27/8 in order from least to greatest? A) 3.6, 27/8, 3.75, 3 4/5 B) 27/8, 3.6, 3.75, 3 4/5 C) 27/8, 3 4/5, 3.6, 3.7
Another term for nurture is A. environment. B. biology. C. self-soothing. D. nature.
Find the product. (2n + 1)(2n - 1)(n + 5) 4n^3 + 20n2 - n - 5 4n^2 + 19n - 5 4n^3 + 19n^2 - 5 4n^3+ 20n^2 - 2n - 5
According to dred scott's lawsuit, how has his rights been violated?
what does the 5th amendment address
How would clearing a forest and replacing it with corn affect an environment?
You feel thaf school these days give too much of homework and conduct testes