Answer:
the prime factors are 113×97
Step-by-step explanation:
The given expression which we need to factor is
\(105^2-8^2\)
Use the formula for difference of squares \(a^2-b^2=(a+b)(a-b)\)
here, a = 105, b = 8
\(105^2-8^2\\\\=(105+8)(105-8)\)
On simplifying, we get
\((113)(97)\)
Thus, the prime factors are 113×97