Factor out the Greatest Common Factor (GCF) from the polynomial (12x^3y + 18x^2y^2 + 24x^4y^3)

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Step:1 ：First, identify the GCF of the coefficients and the variable terms. The GCF of the coefficients 12, 18, and 24 is 6. The GCF of the variable terms (x^3y, x^2y^2, x^4y^3) is (x^2y).Step:2 ：Next, divide each term of the polynomial by the GCF. (frac{12x^3y}{6x^2y} = 2x, frac{18x^2y^2}{6x^2y} = 3y, frac{24x^4y^3}{6x^2y} = 4x^2y^2).Step:3 ：Finally, write the factored form of the polynomial. It is the GCF times the result of step 2. (6x^2y(2x + 3y + 4x^2y^2)).

Answer

Step: 1 ：First, identify the GCF of the coefficients and the variable terms. The GCF of the coefficients 12, 18, and 24 is 6. The GCF of the variable terms (x^3y, x^2y^2, x^4y^3) is (x^2y).Step: 2 ：Next, divide each term of the polynomial by the GCF. (frac{12x^3y}{6x^2y} = 2x, frac{18x^2y^2}{6x^2y} = 3y, frac{24x^4y^3}{6x^2y} = 4x^2y^2).Step: 3 ：Finally, write the factored form of the polynomial. It is the GCF times the result of step 2. (6x^2y(2x + 3y + 4x^2y^2)).

Factor out the Greatest Common Factor (GCF) from the polynomial \(12x^3y + 18x^2y^2 + 24x^4y^3\)

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