Factor completely. 14x^(2)y^(5)z^(3)+3y^(4) Answer:

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Factor completely.  14x^(2)y^(5)z^(3)+3y^(4) Answer:

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Identify GCF: Identify the greatest common factor (GCF) of the two terms in the expression 14x^(2)y^(5)z^(3) and 3y^(4). The GCF is the largest factor that divides both terms. Since there is no common factor involving x or z, and the smallest power of y in both terms is y^(4), the GCF is 3y^(4).Factor Out GCF: Factor out the GCF from the expression. We write the original expression as the GCF multiplied by what is left in each term after dividing by the GCF. 14x^(2)y^(5)z^(3) + 3y^(4) = 3y^(4)(14/3 * x^(2)y^(5-4)z^(3) + 1)Simplify Expression: Simplify the expression inside the parentheses. Divide 14 by 3 and subtract the exponents of y (5 - 4 = 1). 3y^(4)(14/3 * x^(2)y^(5-4)z^(3) + 1) = 3y^(4)(4x^(2)yz^(3) + 1)Check for Factors: Check for any additional common factors or special products that could be factored further. The expression inside the parentheses, 4x^(2)yz^(3) + 1, does not have any common factors and is not a special product (such as a difference of squares or a perfect square trinomial). Therefore, the expression is fully factored.

Factor completely. $\newline$ $14 x^{2} y^{5} z^{3}+3 y^{4}$ $\newline$ Answer:

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Factor completely.\newline14x2y5z3+3y4 14 x^{2} y^{5} z^{3}+3 y^{4} 14x2y5z3+3y4\newlineAnswer:

Factor completely. $\newline$ $14 x^{2} y^{5} z^{3}+3 y^{4}$ $\newline$ Answer: