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

User Kfkhalili
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2 Answers

3 votes
105^2-8^2
=(105+8)(105 - 8)
User Saneesh
by
7.6k points
7 votes

Answer:

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

User Kampageddon
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7.6k points