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27 November, 00:55

Find the greatest common factor

6x^2y^4+18x^3y^5-12x^5y^3

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Answers (2)
  1. 27 November, 01:52
    0
    6x^2y^3

    Step-by-step explanation:

    6x^2y^4+18x^3y^5-12x^5y^3

    Lets break each term into prime factors

    6x^2y^4 = 3*2*x*x*y*y*y*y

    18x^3y^5 = 9*2^3y^5 = 3*3*2*x*x*x*y*y*y*y*y

    12x^5y^3 = 4*3x^5y^3 = 2*2*3*x*x*x*x*x*y*y*y

    Each has one 2, one 3, two x's and three y's

    So the greatest common factor is

    2*3*x*x*y*y*y

    6x^2y^3
  2. 27 November, 04:26
    0
    6x^2y^3

    Step-by-step explanation:

    6x^2y^4+18x^3y^5-12x^5y^3

    Lets check the coefficients first:-

    6, 18, 12 - The GCF is 6.

    x terms: - x^2, x^3 and x^5. The GCF is x^2.

    y terms: - y^4, y^5 and y^3. The GCF is y^3.
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