Question

Algebra 2 help? Factor 1052 - 82 into two prime factors. 1052 - 82 = (?)(?)

Answer 1

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.