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Algebra 2 help?

Factor 1052 - 82 into two prime factors.

1052 - 82 = (?)(?)

2 Answers

2 votes

Answer:

1052 - 82 = ( 97 )( 113 )

Explanation:

User Akeda
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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 VorpalSword
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