Factor
\left(3x-2y\right)\left(z^{4}+1\right)
Evaluate
\left(3x-2y\right)\left(z^{4}+1\right)
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3x-2y+z^{4}\left(3x-2y\right)
Do the grouping 3x-2y-2yz^{4}+3xz^{4}=\left(3x-2y\right)+\left(-2yz^{4}+3xz^{4}\right), and factor out z^{4} in -2yz^{4}+3xz^{4}.
\left(3x-2y\right)\left(1+z^{4}\right)
Factor out common term 3x-2y by using distributive property. Polynomial z^{4}+1 is not factored since it does not have any rational roots.
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