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Factor completely.

-24 z-28x^(3)y^(4)
Answer:

Factor completely.\newline24z28x3y4 -24 z-28 x^{3} y^{4} \newlineAnswer:

Full solution

Q. Factor completely.\newline24z28x3y4 -24 z-28 x^{3} y^{4} \newlineAnswer:
  1. Identify GCF: Step Title: Identify the Greatest Common Factor (GCF)\newlineConcise Step Description: Find the greatest common factor of the terms in the expression.\newlineStep Calculation: The GCF of 24-24 and 28-28 is 44. Both terms also have a 'zz' variable, so the GCF is 4z4z.\newlineStep Output: GCF: 4z4z
  2. Factor Out GCF: Step Title: Factor Out the GCF\newlineConcise Step Description: Divide each term by the GCF and write the expression as a product of the GCF and the resulting terms.\newlineStep Calculation: 24z-24z divided by 4z4z is 6-6, and 28x3y4-28x^{3}y^{4} divided by 4z4z is 7x3y4z1-7x^{3}y^{4}z^{-1} (since there is no 'z' in the second term, we subtract the exponents when dividing).\newlineStep Output: Factored expression: 4z(67x3y4z1)4z(-6 - 7x^{3}y^{4}z^{-1})
  3. Simplify Factored Expression: Step Title: Simplify the Factored Expression\newlineConcise Step Description: Simplify the expression inside the parentheses if possible.\newlineStep Calculation: Since there are no like terms inside the parentheses, the expression is already simplified.\newlineStep Output: Simplified factored expression: 4z(67x3y4/z)4z(-6 - 7x^{3}y^{4}/z)