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29 August, 18:16

Question 1

Factor the following expression using the GCF. Type your factored expression below.

4xy + 12w + 12Z

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Answers (1)
  1. 29 August, 21:37
    0
    4 (xy + w + z)

    Step-by-step explanation:

    The expression to be factored is:

    4xy + 12w + 12z

    Factoring an equation involves taking out common terms from the expression that will then make it more simpler and simplified.

    To solve this problem, we need to find the factors of the given terms:

    4xy

    12w

    12z

    The numbers given as coefficients of the variables are;

    4 12 12

    A factor is any integer that divides a number evenly;

    Factors of 4 are 1, 2 and 4

    12 are 1, 2,3,4,6 and 12

    The common factors between 4 and 12 are those numbers that can divide both digits:

    These are 1, 2, and 4, they are common to both

    Now, the greatest common factor is the highest of this factors which is 4

    Therefore, the greatest common factor of 12 and 4 is 4

    Also, xy, w and z has no common factors

    Factoring

    4xy + 12w + 12z = 4 (xy + w + z)
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