Factor completely. -21y^(2)z^(2)+35x^(3)z^(4) Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression -21y^(2)z^(2)+35x^(3)z^(4). The GCF is the product of the smallest powers of common factors in the terms. Both terms have a factor of 7 and z^2 in common.Factor out GCF: Factor out the GCF from the expression. The GCF of 7z^2 is factored out, giving us 7z^2(-3y^2 + 5x^3z^2).Check for further factorization: Check if the remaining terms inside the parentheses can be factored further. The terms -3y^2 and 5x^3z^2 do not have any common factors 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.Write completely factored expression: Write down the completely factored expression. The completely factored form of the expression is 7z^2(-3y^2 + 5x^3z^2).

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Factor completely.

-21y^(2)z^(2)+35x^(3)z^(4)
Answer:

Factor completely. $\newline$ $-21 y^{2} z^{2}+35 x^{3} z^{4}$ $\newline$ Answer:

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Q. Factor completely.

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-21 y^{2} z^{2}+35 x^{3} z^{4}

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Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression $-21y^{2}z^{2}+35x^{3}z^{4}$ . $\newline$ The GCF is the product of the smallest powers of common factors in the terms. Both terms have a factor of $7$ and $z^2$ in common.
Factor out GCF: Factor out the GCF from the expression. $\newline$ The GCF of $7z^2$ is factored out, giving us $7z^2(-3y^2 + 5x^3z^2)$ .
Check for further factorization: Check if the remaining terms inside the parentheses can be factored further. $\newline$ The terms $-3y^2$ and $5x^3z^2$ do not have any common factors 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.
Write completely factored expression: Write down the completely factored expression. $\newline$ The completely factored form of the expression is $7z^2(-3y^2 + 5x^3z^2)$ .