ErdiW250662 ErdiW250662
  • 25-10-2022
  • Mathematics
contestada

Factor completely.9k2 - 121m²(3k - 11m)2O (3k + 11m)(3k - 11m)-O (3k + 11m)O Prime

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CristianoQ179182 CristianoQ179182
  • 25-10-2022

So, we have to factor completely the expression 9k²-121m².

We have a special product that is:

(a+b)(a-b)= a²-b²

So, we need to find a and b so that a² is 9k² and b²=121m²

sqrt(9k²) is 3k and sqrt(121m²) is 11m. Therefore:

(3k+11m)*(3k-11m)= 9k²-121m²

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