Factor completely. 21x^(3)y^(3)z^(2)-14y^(4)z^(4) Answer:

Identify GCF: Identify the greatest common factor (GCF) of the two terms. The GCF of 21x^(3)y^(3)z^(2) and 14y^(4)z^(4) is 7y^(3)z^(2).Factor out GCF: Factor out the GCF from each term. 21x^(3)y^(3)z^(2) - 14y^(4)z^(4) = 7y^(3)z^(2)(3x^(3) - 2y^(1)z^(2))Check for further factorization: Check if the remaining terms inside the parentheses can be factored further. The terms 3x^(3) and 2y^(1)z^(2) do not have a common factor other than 1, and they are not special products (like a difference of squares or a perfect square trinomial), so they cannot be factored further.

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Factor completely.

21x^(3)y^(3)z^(2)-14y^(4)z^(4)
Answer:

Factor completely. $\newline$ $21 x^{3} y^{3} z^{2}-14 y^{4} z^{4}$ $\newline$ Answer:

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Precalculus

Operations with rational exponents

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Q. Factor completely.

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21 x^{3} y^{3} z^{2}-14 y^{4} z^{4}

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Answer:

Identify GCF: Identify the greatest common factor (GCF) of the two terms. $\newline$ The GCF of $21x^{3}y^{3}z^{2}$ and $14y^{4}z^{4}$ is $7y^{3}z^{2}$ .
Factor out GCF: Factor out the GCF from each term. $\newline$ $21x^{3}y^{3}z^{2} - 14y^{4}z^{4} = 7y^{3}z^{2}(3x^{3} - 2y^{1}z^{2})$
Check for further factorization: Check if the remaining terms inside the parentheses can be factored further. $\newline$ The terms $3x^{3}$ and $2y^{1}z^{2}$ do not have a common factor other than $1$ , and they are not special products (like a difference of squares or a perfect square trinomial), so they cannot be factored further.