Math, asked by IravsRIDswaryasree, 1 year ago

Find the largest prime factor of 3 12 + 2 12 -2.6 6 ?

Answers

Answered by kvnmurty
9
N = 3¹² + 2¹² - 2 * 6⁶
   = (3⁶)² + (2⁶)² - 2 * 2⁶ * 3⁶
   = (3⁶ - 2⁶)²
   = [ (3³ - 2³) (3³ + 2³) ]²
   = (19 * 35)²
   = 19² * 7² 5²

Largest prime factor = 19

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