Factor completely. 13y^(3)z^(2)-14x^(3)y^(7)z^(3) Answer:

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Factor completely.  13y^(3)z^(2)-14x^(3)y^(7)z^(3) Answer:

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Identify GCF: Identify the greatest common factor (GCF) of the two terms in the expression 13y^(3)z^(2)-14x^(3)y^(7)z^(3). The GCF is the product of the lowest powers of common factors in both terms. Both terms have a y and a z factor. The GCF is y^(3)z^(2) because y^(3) is the lower power of y (compared to y^(7)) and z^(2) is the lower power of z (compared to z^(3)).Factor Out GCF: Factor out the GCF from the expression. We write the expression as y^(3)z^(2) times the remaining factors. 13y^(3)z^(2)-14x^(3)y^(7)z^(3) = y^(3)z^(2)(13 - 14x^(3)y^(4)z).Simplify Inside Parentheses: Simplify the expression inside the parentheses. We need to subtract the exponents of y and z from the second term because we factored them out. 13y^(3)z^(2)-14x^(3)y^(7)z^(3) = y^(3)z^(2)(13 - 14x^(3)y^(4)z). The second term inside the parentheses simplifies to 14x^(3)y^(4)z because y^(7)/y^(3) = y^(4) and z^(3)/z^(2) = z.Write Final Factored Expression: Write the final factored expression. The completely factored form of the expression is y^(3)z^(2)(13 - 14x^(3)y^(4)z).

Factor completely. $\newline$ $13 y^{3} z^{2}-14 x^{3} y^{7} z^{3}$ $\newline$ Answer:

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Factor completely. $\newline$ $13 y^{3} z^{2}-14 x^{3} y^{7} z^{3}$ $\newline$ Answer: