Factor completely. 11x^(3)y^(2)z^(2)-22x^(2)z^(5) Answer:

Identify GCF: Identify the greatest common factor (GCF) of the two terms in the expression. The GCF of 11x^(3)y^(2)z^(2) and 22x^(2)z^(5) is 11x^(2)z^(2).Factor out GCF: Factor out the GCF from each term in the expression. 11x^(3)y^(2)z^(2) - 22x^(2)z^(5) = 11x^(2)z^(2)(x^(3-2)y^(2)z^(2-2)) - 11x^(2)z^(2)(22/11x^(2-2)z^(5-2))Simplify terms: Simplify the exponents and coefficients in each term after factoring out the GCF. 11x^(2)z^(2)(x^(3-2)y^(2)z^(2-2)) - 11x^(2)z^(2)(22/11x^(2-2)z^(5-2)) = 11x^(2)z^(2)(xy^(2)) - 11x^(2)z^(2)(2z^(3))Combine final expression: Combine the terms inside the parentheses to write the final factored expression. 11x^(2)z^(2)(xy^(2) - 2z^(3))

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Factor completely.

11x^(3)y^(2)z^(2)-22x^(2)z^(5)
Answer:

Factor completely. $\newline$ $11 x^{3} y^{2} z^{2}-22 x^{2} z^{5}$ $\newline$ Answer:

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Precalculus

Operations with rational exponents

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Q. Factor completely.

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11 x^{3} y^{2} z^{2}-22 x^{2} z^{5}

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Answer:

Identify GCF: Identify the greatest common factor (GCF) of the two terms in the expression. $\newline$ The GCF of $11x^{3}y^{2}z^{2}$ and $22x^{2}z^{5}$ is $11x^{2}z^{2}$ .
Factor out GCF: Factor out the GCF from each term in the expression. $\newline$ $11x^{3}y^{2}z^{2} - 22x^{2}z^{5} = 11x^{2}z^{2}(x^{3-2}y^{2}z^{2-2}) - 11x^{2}z^{2}(\frac{22}{11}x^{2-2}z^{5-2})$
Simplify terms: Simplify the exponents and coefficients in each term after factoring out the GCF. $\newline$ $11x^{2}z^{2}(x^{3-2}y^{2}z^{2-2}) - 11x^{2}z^{2}(\frac{22}{11}x^{2-2}z^{5-2}) = 11x^{2}z^{2}(xy^{2}) - 11x^{2}z^{2}(2z^{3})$
Combine final expression: Combine the terms inside the parentheses to write the final factored expression. $11x^{2}z^{2}(xy^{2} - 2z^{3})$