5. Rewrite 252 + 108 in the form A(B+C) where a is the greatest common factor of 252 and 108
and b and care whole numbers.
(Responses: 2, 4, 6, 36, 42, 54, 63)
252 +108 =
Responses: 2, 4, 6, 7, 42, 63, 126)
(
(Responses: 2, 3, 18, 27; 36, 54, 108)

Respuesta :

The values of A, B and C are 36, 7 and 3, respectively.

What is the simplified form of the sum of two positive integers?

In this problem we have the addition of two positive integers that are divisible to 2. First, we proceed to decompose each element of the addition as a product of prime numbers:

252 = 2² × 3² × 7

108 = 2² × 3³

The greatest common factor is the greatest integer that can be removed from the addition by distributive property. Then, the greatest common factor is 2² × 3² = 36 and finally:

(2² × 3²) · (7 + 3)

36 · (7 + 3)

The values of A, B and C are 36, 7 and 3, respectively.

To learn more on factor decomposition: https://brainly.com/question/11698164

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