Factor
y\left(xy+1\right)\left(x^{2}y^{2}-xy+1\right)
Evaluate
y\left(xy\right)^{3}+y
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y\left(1+x^{3}y^{3}\right)
Factor out y.
\left(xy+1\right)\left(x^{2}y^{2}-xy+1\right)
Consider 1+x^{3}y^{3}. Rewrite 1+x^{3}y^{3} as \left(xy\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).
y\left(xy+1\right)\left(x^{2}y^{2}-xy+1\right)
Rewrite the complete factored expression.
Examples
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Matrix
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Simultaneous equation
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Differentiation
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Integration
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Limits
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