Factor
2x^{2}\left(y^{2}+3\right)\left(y^{4}-3y^{2}+9\right)
Evaluate
2x^{2}\left(y^{6}+27\right)
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2\left(27x^{2}+x^{2}y^{6}\right)
Factor out 2.
x^{2}\left(27+y^{6}\right)
Consider 27x^{2}+x^{2}y^{6}. Factor out x^{2}.
\left(y^{2}+3\right)\left(y^{4}-3y^{2}+9\right)
Consider 27+y^{6}. Rewrite 27+y^{6} as \left(y^{2}\right)^{3}+3^{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^{2}\left(y^{2}+3\right)\left(y^{4}-3y^{2}+9\right)
Rewrite the complete factored expression. The following polynomials are not factored since they do not have any rational roots: y^{2}+3,y^{4}-3y^{2}+9.
Examples
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\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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