162k views
4 votes
Factor 1052 - 82 into two prime factor

User Matm
by
8.5k points

2 Answers

5 votes
the answer is 97 * 113
User Luthien
by
8.2k points
5 votes
The answer is 97 · 113.

105² - 8² is the differences of squares.
The general formula of the differences of squares can be expressed as:
a² - b² = (a - b)(a + b)
In expression 105² - 8², we can cay that a = 105 and b = 8. Therefore:
105² - 8² = (105 - 8)(105 + 8) = 97 · 113
Both 97 and 113 are prime numbers.

User Tryph
by
8.2k points

Related questions

2 answers
0 votes
115k views
1 answer
3 votes
227k views
1 answer
1 vote
211k views