Respuesta :

105^2-8^2
=(105+8)(105 - 8)

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