benneisha benneisha
  • 03-11-2016
  • Mathematics
contestada

factor 105^2-8^2 into two prime factors

Respuesta :

Аноним Аноним
  • 03-11-2016
105^2-8^2
=(105+8)(105 - 8)
Answer Link
SociometricStar
SociometricStar SociometricStar
  • 05-07-2019

Answer:

the prime factors are 113×97

Step-by-step explanation:

The given expression which we need to factor is

[tex]105^2-8^2[/tex]

Use the formula for difference of squares [tex]a^2-b^2=(a+b)(a-b)[/tex]

here, a = 105, b = 8

[tex]105^2-8^2\\\\=(105+8)(105-8)[/tex]

On simplifying, we get

[tex](113)(97)[/tex]

Thus, the prime factors are 113×97

Answer Link

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