Factor completely. 27x^(4)y^(2)+37 xz^(3) Answer:

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Factor completely.  27x^(4)y^(2)+37 xz^(3) Answer:

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Identify Common Factor: Identify if there is a common factor in both terms of the expression 27x^(4)y^(2) + 37xz^(3). We look for a common factor in the coefficients (27 and 37) and the variables (x^(4)y^(2) and xz^(3)).Determine Coefficients GCF: Determine the greatest common factor (GCF) of the coefficients. The coefficients 27 and 37 are both prime numbers and do not share any common factors other than 1.Determine Variable GCF: Determine the GCF of the variable terms. The variable terms x^(4)y^(2) and xz^(3) share a common factor of x. The highest power of x that is in both terms is x^1 (since x is the same as x^1).Factor Out GCF: Factor out the GCF from the expression. The GCF of the entire expression is x. We factor x out of each term to get x(27x^(3)y^(2) + 37z^(3)).Check Further Factoring: Check if the remaining terms inside the parentheses can be factored further. The terms 27x^(3)y^(2) and 37z^(3) do not have any common factors, and neither of them is a perfect square or a product of squares that would allow for further factoring.Conclude Complete Factoring: Conclude that the expression is completely factored. The expression 27x^(4)y^(2) + 37xz^(3) is completely factored as x(27x^(3)y^(2) + 37z^(3)).

Factor completely. $\newline$ $27 x^{4} y^{2}+37 x z^{3}$ $\newline$ Answer:

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Factor completely.\newline27x4y2+37xz3 27 x^{4} y^{2}+37 x z^{3} 27x4y2+37xz3\newlineAnswer:

Factor completely. $\newline$ $27 x^{4} y^{2}+37 x z^{3}$ $\newline$ Answer: