Factor completely. -28x^(4)y^(3)z^(3)-21x^(6)y^(6)z^(4) Answer:

Identify GCF: Identify the greatest common factor (GCF) of the two terms. The GCF of -28 and -21 is -7. The GCF of x^(4) and x^(6) is x^(4). The GCF of y^(3) and y^(6) is y^(3). The GCF of z^(3) and z^(4) is z^(3). So, the GCF of the entire expression is -7x^(4)y^(3)z^(3).Factor out GCF: Factor out the GCF from each term in the expression. Divide each term by -7x^(4)y^(3)z^(3) to see what remains. -28x^(4)y^(3)z^(3) ÷ -7x^(4)y^(3)z^(3) = 4 -21x^(6)y^(6)z^(4) ÷ -7x^(4)y^(3)z^(3) = 3x^(2)y^(3)zWrite factored expression: Write the factored expression using the GCF and the remaining terms. The factored expression is -7x^(4)y^(3)z^(3)(4 + 3x^(2)y^(3)z).

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Factor completely.

-28x^(4)y^(3)z^(3)-21x^(6)y^(6)z^(4)
Answer:

Factor completely. $\newline$ $-28 x^{4} y^{3} z^{3}-21 x^{6} y^{6} z^{4}$ $\newline$ Answer:

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Precalculus

Operations with rational exponents

Full solution

Q. Factor completely.

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-28 x^{4} y^{3} z^{3}-21 x^{6} y^{6} z^{4}

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Answer:

Identify GCF: Identify the greatest common factor (GCF) of the two terms. $\newline$ The GCF of $-28$ and $-21$ is $-7$ . $\newline$ The GCF of $x^{4}$ and $x^{6}$ is $x^{4}$ . $\newline$ The GCF of $y^{3}$ and $y^{6}$ is $y^{3}$ . $\newline$ The GCF of $z^{3}$ and $-21$ $0$ is $z^{3}$ . $\newline$ So, the GCF of the entire expression is $-21$ $2$ .
Factor out GCF: Factor out the GCF from each term in the expression. $\newline$ Divide each term by $-7x^{4}y^{3}z^{3}$ to see what remains. $\newline$ $-28x^{4}y^{3}z^{3} \div -7x^{4}y^{3}z^{3} = 4$ $\newline$ $-21x^{6}y^{6}z^{4} \div -7x^{4}y^{3}z^{3} = 3x^{2}y^{3}z$
Write factored expression: Write the factored expression using the GCF and the remaining terms. $\newline$ The factored expression is $-7x^{4}y^{3}z^{3}(4 + 3x^{2}y^{3}z)$ .