Question

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

Answer 1

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

Answer 2

the prime factors are 113×97

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