Question

6.1 greatest common factor: prob
(1 point)
factor out the negative of the greatest common factor:
$6x^{4}-9x^{6}=\square$
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Explanation:

Step1: Find the GCF of coefficients

The coefficients are \(6\) and \(9\). The GCF of \(6\) and \(9\) is \(3\).

Step2: Find the GCF of variables

For the variables \(x^{4}\) and \(x^{6}\), the GCF is \(x^{4}\) (using the rule \(x^{m}\) and \(x^{n}\), GCF is \(x^{\min(m,n)}\)).

Step3: Factor out the negative of GCF

The GCF is \(3x^{4}\), and we factor out \(- 3x^{4}\).

$$
LATEXBLOCK0
$$

Answer:

\(-3x^{4}(3x^{2}-2)\)