Factor completely. -12x^(6)z^(2)+32x^(2)y Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression -12x^(6)z^(2) + 32x^(2)y. The GCF of -12 and 32 is 4. The GCF of x^(6) and x^(2) is x^(2) since we take the lowest power of x common to both terms. There is no common factor for z^(2) and y, and since one term has a z and the other has a y, they do not contribute to the GCF. The GCF is therefore 4x^(2).Factor Out GCF: Factor out the GCF from each term in the expression. Expression: -12x^(6)z^(2) + 32x^(2)y Factored form: 4x^(2)(-3x^(4)z^(2) + 8y)Check Further Factoring: Check if the terms inside the parentheses can be factored further. The term -3x^(4)z^(2) does not have any common factors with 8y other than 1, and there are no common variables. Therefore, the terms inside the parentheses cannot be factored further.

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Factor completely.

-12x^(6)z^(2)+32x^(2)y
Answer:

Factor completely. $\newline$ $-12 x^{6} z^{2}+32 x^{2} y$ $\newline$ Answer:

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Math Problems

Algebra 2

Multiply and divide rational expressions

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Q. Factor completely.

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-12 x^{6} z^{2}+32 x^{2} y

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Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression $-12x^{6}z^{2} + 32x^{2}y$ . $\newline$ The GCF of $-12$ and $32$ is $4$ . $\newline$ The GCF of $x^{6}$ and $x^{2}$ is $x^{2}$ since we take the lowest power of $x$ common to both terms. $\newline$ There is no common factor for $z^{2}$ and $y$ , and since one term has a $-12$ $0$ and the other has a $y$ , they do not contribute to the GCF. $\newline$ The GCF is therefore $-12$ $2$ .
Factor Out GCF: Factor out the GCF from each term in the expression. $\newline$ Expression: $-12x^{6}z^{2} + 32x^{2}y$ $\newline$ Factored form: $4x^{2}(-3x^{4}z^{2} + 8y)$
Check Further Factoring: Check if the terms inside the parentheses can be factored further. $\newline$ The term $-3x^{4}z^{2}$ does not have any common factors with $8y$ other than $1$ , and there are no common variables. Therefore, the terms inside the parentheses cannot be factored further.