Factor
2y\left(3x+1\right)\left(9x^{2}-3x+1\right)x^{3}
Evaluate
54yx^{6}+2yx^{3}
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2\left(27x^{6}y+x^{3}y\right)
Factor out 2.
x^{3}y\left(27x^{3}+1\right)
Consider 27x^{6}y+x^{3}y. Factor out x^{3}y.
\left(3x+1\right)\left(9x^{2}-3x+1\right)
Consider 27x^{3}+1. Rewrite 27x^{3}+1 as \left(3x\right)^{3}+1^{3}. The sum of cubes can be factored using the rule: a^{3}+b^{3}=\left(a+b\right)\left(a^{2}-ab+b^{2}\right).
2x^{3}y\left(3x+1\right)\left(9x^{2}-3x+1\right)
Rewrite the complete factored expression. Polynomial 9x^{2}-3x+1 is not factored since it does not have any rational roots.
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Limits
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