Question

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

Answer 1

Answer:

Prime factors are 113 * 97

Step-by-step explanation:

The given expression which we are need to factors is

105^ 2 - 8^2

Use the formula for difference of a 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